Indian Journal of Pure and Applied Mathematics

2010 - 2025

Current editor(s): Nidhi Chandhoke

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Volume 56, issue 1, 2025

Existence of optimal pairs and solvability of non-autonomous fractional Sobolev-type integrodifferential equations pp. 1-12

Madhukant Sharma

Some results on Ramanujan’s continued fractions of order ten and applications pp. 13-37

Shraddha Rajkhowa and Nipen Saikia

Distance spectrum of the Hadamard product of a cubic graph pp. 38-45

Alireza Doostabadi and Maysam Yaghoobian

Nonlinear degenerate p(x)-Laplacian equation with singular gradient and lower order term pp. 46-66

Hichem Khelifi and Mohamed Amine Zouatini

On the solution of nonlinear nonlocal Volterra–Fredholm type hybrid fractional differential equation pp. 67-78

Darshana Devi and Jayanta Borah

A mixed finite element approach for a factional viscoelastic wave propagation in-time-domain pp. 79-98

M. Ait Ichou and A. Ezziani

Evaluation of the convolution sum $$\displaystyle \varvec{\sum _{al+bm=n} \sigma (l)\sigma _ 3 (m) }$$ ∑ a l + b m = n σ ( l ) σ 3 ( m ) for $$\varvec{(a,b) = (1,7), (7,1), (1,8), (8,1), (1,9), (9,1)}$$ ( a, b ) = ( 1, 7 ), ( 7, 1 ), ( 1, 8 ), ( 8, 1 ), ( 1, 9 ), ( 9, 1 ) and representations by certain quadratic forms in twelve variables pp. 99-112

Şaban Alaca and Yavuz Kesicioğlu

On further modular relations for the Rogers–Ramanujan functions pp. 113-124

Channabasavayya, Gedela Kavya Keerthana and Ranganatha Dasappa

Generalized Eulerian distributions from the wreath product $$\pmb {{\mathcal {C}}}_{\varvec{r}} \pmb {\wr } {\varvec{S}}_{\varvec{n}}$$ C r ≀ S n pp. 125-139

Bingran Cui, Lily Li Liu and Haiyan Yuan

The Turán number of book graphs pp. 140-149

Jingru Yan and Xingzhi Zhan

A note on central automorphisms that fix the center elementwise pp. 150-155

Mehdi Shabani-Attar

On the extendibility of certain $$D(-1)$$ D ( - 1 ) -pairs in imaginary quadratic rings pp. 156-162

Yasutsugu Fujita and Ivan Soldo

On the sum of the reciprocals of $$\pmb {k}$$ k -generalized Pell numbers pp. 163-174

Benedict Vasco Normenyo

A note on the Turn $${\check{s}}$$ s ˇ ek theorem pp. 175-179

Longfa Sun, Yinghua Sun, Yan Guo and Cuiling Wang

An attack on a key exchange protocol based on max-times and min-times algebras pp. 180-190

Ivan Buchinskiy, Matvei Kotov and Alexander Treier

On change point detection in regression function using nonparametric autoregressive processes pp. 191-209

Ben Célestin Kouassi, Ouagnina Hili and Edoh Katchekpele

On phase-isometries between the positive cones of $${\varvec{c}}_{\textbf{0}}$$ c 0 pp. 210-217

Longfa Sun, Yinghua Sun and Duanxu Dai

Predictive estimation for mean under median ranked set sampling: an application to COVID-19 data pp. 218-229

Sweta Shukla, Abhishek Singh and Gajendra K. Vishwakarma

Numerical solution of coupled Lane–Emden–Fowler type equation by embedded quasilinearization method with homotopy analysis method pp. 230-240

Vikash Kumar Sinha and Prashanth Maroju

Modified version of a simplified Landweber iterative method for nonlinear ill-posed operator equations pp. 241-261

Pallavi Mahale and Ankush Kumar

A monotonicity property of Riemann’s $${\varvec{\xi }}$$ ξ function along certain curves pp. 262-265

Gajendra Singh

Murasugi sum of $${\varvec{k}}$$ k –open books pp. 266-272

Abhijeet Ghanwat, Suhas Pandit and Selvakumar A.

Well posedness for a heat equation with a nonlinear memory term pp. 273-284

Giulio Schimperna and Ava Shafeeq Rafeeq

Some homological properties of edge rings of diamond snake graphs pp. 285-294

Pavinder Singh, Richa Vats and Rohit Verma

On triangle-free graphs with rank 7 pp. 295-304

Fang Duan

A generalization of the hyperbolic Pascal pyramid pp. 305-315

Hacène Belbachir, Fella Rami, László Németh and László Szalay

Envelopes and covers by modules of finite pure-injective and pure-projective dimensions pp. 316-323

Yuedi Zeng

Congruences modulo powers of 3 for k-colored partitions pp. 324-338

Xin-Qi Wen

On $${\pmb k}$$ k -Fibonacci numbers expressible as product of two Balancing or Lucas-Balancing numbers pp. 339-356

Salah Eddine Rihane

Evaluation of some sums involving powers of harmonic numbers pp. 357-366

Ce Xu, Xixi Zhang and Jianqiang Zhao

Commutativity of semi-derivative prime rings pp. 367-374

Evrim Güven

On calculations of the Fourier coefficients of cusp forms of half-integral weight given by the Shintani lift pp. 375-389

Hisashi Kojima and Hiroshi Sakata

Convergence speed of the Brun algorithm over formal power series field pp. 390-403

Amara Chandoul

Anticenter of Profiles in Products of Graphs pp. 404-413

Manoj Changat, Prasanth G. Narasimha-Shenoi, Mary Shalet Thottungal Joseph, Archana Sivadas and Prakash G. Narasimha-Shenoi

Some properties of degenerate Sheffer sequences based on algebraic approach pp. 414-431

Mumtaz Riyasat, Mehnaz Haneef and Subuhi Khan

Volume 55, issue 4, 2024

Subspace-supercyclic abelian linear semigroups pp. 1107-1128

Salah Herzi and Habib Marzougui

A study of harmonic Fibonacci polynomials associated With Bernoulli-F and Euler–Fibonacci polynomials pp. 1129-1141

Naim Tuglu, Semra Kuş and Can Kızılateş

Cuspidal crosscaps and folded singularities on a maxface and a minface pp. 1142-1149

Rivu Bardhan, Anu Dhochak and Pradip Kumar

Existence and regularity results for a system of $$\Lambda $$ Λ -Hilfer fractional differential equations by the generalized Lax–Milgram theorem pp. 1150-1159

Mohammad Bagher Ghaemi, Fatemeh Mottaghi, Chenkuan Li and Reza Saadati

Existence of non-standard ideals in the formal power series algebra $$\pmb {{\mathfrak {F}}({\mathbb {Z}}_{+}^{2}; {\mathbb {C}})}$$ F ( Z + 2 ; C ) pp. 1160-1165

H. V. Dedania and K. R. Baleviya

Handle decompositions for a class of closed orientable PL 4-manifolds pp. 1166-1172

Biplab Basak and Manisha Binjola

Implicit degree condition restricted to essential independent sets for Hamiltonian cycles pp. 1173-1179

Xing Huang

Residue of some Eisenstein series pp. 1180-1197

Shoyu Nagaoka

Prime numbers of the form $$[\text {n}^c \tan ^\theta (\log \text {n})]$$ [ n c tan θ ( log n ) ] pp. 1198-1209

Stoyan Dimitrov

On automorphisms and fixing number of co-normal product of graphs pp. 1210-1221

Shahid ur Rehman, Muhammad Imran and Imran Javaid

On path-factor critical uniform graphs pp. 1222-1230

Hongxia Liu

On a group-theoretical generalization of the Euler’s totient function pp. 1231-1233

Marius Tărnăuceanu

Generalized Cassini identities via the generalized Fibonacci fundamental system. Applications pp. 1234-1250

I. M. Craveiro, E. V. Pereira Spreafico and M. Rachidi

A new proof of quadratic series of Au-Yeung and explicit evaluation of its alternating sum pp. 1251-1260

Narendra Bhandari and Yogesh Joshi

Some estimates of operators on Local mixed Morrey-type spaces pp. 1261-1280

Mingwei Shi and Jiang Zhou

A note on Whitney embedding theorem pp. 1281-1284

Abhijeet Ghanwat

On diagonal pluriharmonic metrics of G-Higgs bundles pp. 1285-1289

Natsuo Miyatake

On the Seidel spectrum of threshold graphs pp. 1290-1301

Santanu Mandal and Ranjit Mehatari

Pattern polynomial graphs pp. 1302-1315

A. Satyanarayana Reddy

Gelfand pairs and spherical means on H-type groups pp. 1316-1328

K. T. Yasser

Numerical solution of a time dependent singularly perturbed delay differential equation on an exponentially graded mesh pp. 1329-1349

P. Pramod Chakravarthy and Meenakshi Shivhare

Minimal models of oriented partial flag manifolds pp. 1350-1364

Vimala Ramani

Numerical dynamics of the Generalized Equal Width (GEW) wave equation in presence of high-order nonlinearity pp. 1365-1388

Ali Başhan

An efficient numerical approximation for mixed singularly perturbed parabolic problems involving large time-lag pp. 1389-1408

Sushree Priyadarshana and Jugal Mohapatra

Degree sum conditions for path-factor uniform graphs pp. 1409-1415

Guowei Dai

The signs rule for the Laplace integrals with applications pp. 1416-1428

Zhen-Hang Yang and Jing-Feng Tian

A note on the distinct eigenvalues of quotient matrices pp. 1429-1439

Bilal Ahmad Rather

Distribution of monomial-prime numbers and Mertens sum evaluations pp. 1440-1455

Lin Feng, Huixi Li and Biao Wang

Conjunctive Hierarchical Multi-Secret Sharing Scheme using Elliptic Curves pp. 1456-1464

Mohan Chintamani, Prabal Paul and Laba Sa

Construction of cyclic DNA codes over $$\varvec{\mathrm{{Z}}_4R}$$ Z 4 R pp. 1465-1476

Tulay Yildirim

Encryption and decryption of signed graph matrices through RSA algorithm pp. 1477-1484

Obaidullah Wardak, Deepa Sinha and Anshu Sethi

Multi-dimensional constacyclic codes of arbitrary length over finite fields pp. 1485-1498

Swati Bhardwaj and Madhu Raka

Two-agent single-scheduling problems of proportionally-linear deteriorated jobs with the maxi-and-total cost criteria pp. 1499-1510

Xin-gong Zhang, Lu Li, Pay-Wen Yu and Chin-Chia Wu

Erratum to: Identities involving generalized derivations act as Jordan homomorphisms pp. 1511-1511

Pallavee E. Gupta, S. K. Tiwari and B. Prajapati

Erratum to: Continuous Jordan triple endomorphisms of $${{{\varvec{\mathbb {G}}}{\varvec{\mathbb {L}}}_\textbf{2}({\varvec{\mathbb {C}}})}}$$ G L 2 ( C ) pp. 1512-1512

S. E. Ghasempouri, A. Khalili Asboei and S. S. Salehi Amiri

Volume 55, issue 3, 2024

Foreword pp. 829-829

Apoorva Khare and Rahul Roy

K. R. Parthasarathy: early years as a researcher pp. 830-833

Rajeeva L. Karandikar and B. V. Rao

KRP’s contributions in Lie theory pp. 834-837

Apoorva Khare

KRP and the embedding problem for distributions pp. 838-840

S. G. Dani

From central limit theorems to continuous tensor products pp. 841-849

Klaus Schmidt

KRP and his imprimitivity theorem pp. 850-855

Gadadhar Misra

K. R. Parthasarathy: a great mathematician and a master pp. 856-860

Luigi Accardi

Contributions of K. R. Parthasarathy (KRP) to Mathematics of Quantum theory - Perturbations of Operators and Quantum Stochastic Calculus pp. 861-866

Kalyan B. Sinha

Weak markov flows and extreme points of convex sets pp. 867-872

B. V. Rajarama Bhat

K.R. Parthasarathy’s contributions to quantum Gaussian distributions and applications pp. 873-875

Franco Fagnola

Remembering KRP pp. 876-876

S. R. Srinivasa Varadhan

K. R. Parthasarathy as a teacher of mathematics pp. 877-878

Rajendra Bhatia

An approximate equivalence for the GNS representation of the Haar state of $$SU_{q}(2)$$ S U q ( 2 ) pp. 879-892

Partha Sarathi Chakraborty and Arup Kumar Pal

Copying quantum states pp. 893-903

Hans Maassen and Burkhard Kümmerer

Sequences of operator algebras converging to odd spheres in the quantum Gromov–Hausdorff distance pp. 904-910

Tirthankar Bhattacharyya and Sushil Singla

Algebras of entire functions and representations of the twisted Heisenberg group pp. 911-921

Sundaram Thangavelu

A note on outer quantum automorphisms of finite dimensional von Neumann algebras pp. 922-930

Debashish Goswami

Parthasarathy, shift-compactness and infinite combinatorics pp. 931-948

Nicholas H. Bingham and Adam J. Ostaszewski

Positivity and matrix inequalities: some reminiscences of K. R. Parthasarathy pp. 949-956

Rajendra Bhatia

Regularity of the integrated density of states in the continuous spectrum pp. 957-965

M. Krishna

Tracking the mean of a piecewise stationary sequence pp. 966-973

Ghurumuruhan Ganesan

On odd-normal numbers pp. 974-998

Malabika Pramanik and Junqiang Zhang

Embeddability of infinitely divisible distributions on Lie groups pp. 999-1009

S. G. Dani

Mackey imprimitivity and commuting tuples of homogeneous normal operators pp. 1010-1025

Gadadhar Misra, E. K. Narayanan and Cherian Varughese

Probability inequalities for strongly left-invariant metric semigroups/monoids, including all lie groups pp. 1026-1039

Apoorva Khare

On the asymptotic risk of ridge regression with many predictors pp. 1040-1054

Krishnakumar Balasubramanian, Prabir Burman and Debashis Paul

Inertia of Kraus matrices II pp. 1055-1061

Takashi Sano

Feynman–Kac perturbation of $$C^*$$ C ∗ quantum stochastic flows pp. 1062-1083

Alexander C. R. Belton and Stephen J. Wills

A note on Majorana representation of quantum states pp. 1084-1088

Chi-Kwong Li and Mikio Nakahara

Divisibility of integer laurent polynomials, homoclinic points, and lacunary independence pp. 1089-1095

Douglas Lind and Klaus Schmidt

Remembering K.R. Parthasarathy (KRP) pp. 1096-1106

Rajeeva L. Karandikar

Volume 55, issue 2, 2024

Erratum: Balance functors and relative tilting modules pp. 425-425

Lixin Mao

Erratum: The distance spectrum of the complements of graphs of diameter greater than three pp. 426-426

Xu Chen and Guoping Wang

Robust domination in random graphs pp. 427-438

Ghurumuruhan Ganesan

Regularity conditions for vector-valued function algebras pp. 439-450

Z. Barqi and M. Abtahi

Alternative expressions for the Riemann zeta and related functions at positive even integers and infinite sums involving zeros of Bessel and spherical Bessel functions of the first kind pp. 451-462

C. S. Jog

Elliptic curve of rank at least 4 over $${\mathbb {Q}}(k)$$ Q ( k ) with torsion point of order 4 pp. 463-468

Ahmed El Amine Youmbai

On the parametrization of nilpotent orbits pp. 469-479

Chandan Maity

Integer points on the elliptic curve with Fibonacci numbers pp. 480-488

Jinseo Park

Index Whittaker transform for Boehmians pp. 489-500

Jeetendrasingh Maan and Akhilesh Prasad

Lie Algebra of the DSER Elementary Orthogonal Group pp. 501-507

A. A. Ambily and V. K. Aparna Pradeep

Normalized solutions to the Kirchhoff equation with $$L^2$$ L 2 -subcritical or critical nonlinearities in $${\varvec{\mathbb {R}}}^{2}$$ R 2 pp. 508-512

Jiaqing Hu and Anmin Mao

Connecting primitive roots and permutations pp. 513-516

V. P. Ramesh, M. Makeshwari and Saswati Sinha

On squared distance matrix of complete multipartite graphs pp. 517-537

Joyentanuj Das and Sumit Mohanty

Enumeration of plateau polycubes with respect to their lateral area pp. 538-554

Abderrahim Arabi, Hacène Belbachir and Jean-Philippe Dubernard

p-adic valuation of harmonic sums and their connections with Wolstenholme primes pp. 555-566

Leonardo Carofiglio, Luigi Filpo and Alessandro Gambini

Realization of zero-divisor graphs of finite commutative rings as threshold graphs pp. 567-576

Rameez Raja and Samir Ahmad Wagay

Delta wave interactions in a non-strictly hyperbolic system with non-convex flux pp. 577-596

Minhajul and T. Raja Sekhar

Posner’s theorems in semirings pp. 597-602

S. Ganesh and V. Selvan

On Lie-isoclinic extensions of Leibniz n-algebras pp. 603-612

Hesam Safa and Guy R. Biyogmam

Some results concerning the exponential Diophantine equation $$(a^n-1)(b^m-1) = x^2$$ ( a n - 1 ) ( b m - 1 ) = x 2 pp. 613-622

Zahra Ameur, Rachid Boumahdi and Tarek Garici

A note on generalized Jordan n-derivations of unital rings pp. 623-627

Dominik Benkovič

Some relations on the degenerate Korobov polynomials and poly-Korobov polynomials pp. 628-638

Burak Kurt

Congruences with q-harmonic numbers and q-binomial coefficients pp. 639-648

Laid Elkhiri, Sibel Koparal and Neşe Ömür

Unboundedness of the first Betti number and the last Betti number of numerical semigroups generated by concatenation pp. 649-662

Ranjana Mehta, Joydip Saha and Indranath Sengupta

Essential norms of weighted composition operators induced by automorphisms of the ball pp. 663-670

Shan Li

Study of solutions of certain kind of non-linear differential equations pp. 671-683

Garima Pant and Sanjay Kumar Pant

On omitted value for transcendental semigroups pp. 684-690

Subham Chatterjee, Soumyadip Majee and Gorachand Chakraborty

Continuous Jordan triple endomorphisms of $$\pmb {\mathbb{G}\mathbb{L}_{2}(\mathbb {C})}$$ G L 2 ( C ) pp. 691-708

S. E. Ghasempouri, A. KhaliliAsboei and S. S. SalehiAmiri

Watson’s addition formula and q series pp. 709-715

Hemant Masal, Hemant Bhate and Subhash Kendre

Projected fixed point iterative method for large and sparse horizontal linear complementarity problem pp. 716-725

Bharat Kumar, Deepmala and A. K. Das

Decomposition of quandle rings of dihedral quandles pp. 726-730

Dilpreet Kaur and Pushpendra Singh

Identities involving generalized derivations act as Jordan homomorphisms pp. 731-748

Pallavee Gupta, S. K. Tiwari and B. Prajapati

The multilinear Littlewood-Paley square operators and their commutators on weighted Morrey spaces pp. 749-775

Xi Cen

On Waring–Goldbach problem for two squares and five biquadrates pp. 776-793

Jinjiang Li, Linji Long and Min Zhang

Geometric representation of the weighted harmonic mean of n positive values and potential applications pp. 794-804

S. Amat, P. Ortiz, J. Ruiz, J. C. Trillo and D. F. Yáñez

Hybrid mean value of the character sums over the short interval $$[1,\frac{p}{8})$$ [ 1, p 8 ) and the other famous sums pp. 805-818

Rong Ma, Haodong Wang and Yulong Zhang

Ranks of compositionally closed minimal reaction systems pp. 819-828

Husain Intekhab, Johnny Lim and Wen Chean Teh

Volume 55, issue 1, 2024

Quaternary affine variety codes over a Klein-like curve pp. 1-14

Nupur Patanker and Sanjay Kumar Singh

A variant of the Nagell–Ljunggren superelliptic equation pp. 15-22

N. Saradha

Elliptical rotations with hybrid numbers pp. 23-39

İskender Öztürk and Mustafa Özdemir

An improvement of the previous result on fractional (a,b,k)-critical covered graphs pp. 40-46

Xiangyang Lv

Note on two modular equations of Ramanujan pp. 47-53

Dazhao Tang

Universality of certain diagonal quadratic forms for matrices over a ring of integers pp. 54-68

Murtuza Nullwala and Anuradha S. Garge

On the Diophantine equation $$x^2+C=y^n$$ x 2 + C = y n pp. 69-77

Sai Gopal Rayaguru

Detecting capable pairs of some nilpotent Lie superalgebras pp. 78-93

Ibrahem Yakzan Hasan, Rudra Narayan Padhan and Manjula Das

Some refined enumerations of hybrid binary trees pp. 94-104

Lin Yang, Feng-Yun Ren and Sheng-Liang Yang

Some results on the compactified Jacobian of a nodal curve pp. 105-122

Usha N. Bhosle and A. J. Parameswaran

An Expository Note on Wavelets and Graph $$C^{*}$$ C ∗ -algebras pp. 123-137

V. A. Anjali, V. B. Kiran Kumar and P Shankar

Moore−Penrose inverse of the singular conditional matrices and its applications pp. 138-152

Cahit Köme

Some analysis of two generalized Heisenberg groups pp. 153-167

Hailong Xu

A quinary diophantine inequality by primes with one of the form $$\varvec{p=x^2+y^2+1}$$ p = x 2 + y 2 + 1 pp. 168-188

Stoyan Dimitrov

Ill-posedness for the Burgers equation in Sobolev spaces pp. 189-197

Jinlu Li, Yanghai Yu and Weipeng Zhu

On families of graphs which are both adjacency equienergetic and distance equienergetic pp. 198-209

H. S. Ramane, B. Parvathalu, K. Ashoka and S. Pirzada

$$\textrm{L}^{2}_{\alpha } $$ L α 2 -solutions for nonlinear Schrödinger equations associated with the Weinstein operator pp. 210-224

Youssef Bettaibi

On the small time asymptotics of stochastic predator–prey model with nonlinear functional response pp. 225-233

Xiuwei Yin

Groups with maximum vertex degree commuting graphs pp. 234-241

Sushil Bhunia and G. Arunkumar

FP-injective objects in the category of N-complexes pp. 242-255

Bo Lu

Numerical solutions of stochastic Duffing-Van der Pol equations pp. 256-273

Maha Hamed, I. L. El-Kalla, Mohamed A. El-Beltagy and Beih S. El-desouky

Existence and upper bound results for a class of nonlinear nonhomogeneous obstacle problems pp. 274-297

Vo Minh Tam and Shanli Liao

Bounds for the spectral radius of the $$A_{\alpha }$$ A α -matrix of graphs pp. 298-309

Abdollah Alhevaz, Maryam Baghipur and Hilal Ahmad Ganie

On Laplacian integrability of comaximal graphs of commutative rings pp. 310-324

Bilal Ahmad Rather, Mustapha Aouchiche and Muhammed Imran

A new generalization of Leonardo hybrid numbers with q-integers pp. 325-334

Hayrullah Özimamoğlu

On power values of sum of divisors function in arithmetic progressions pp. 335-340

Sai Teja Somu and Vidyanshu Mishra

A modified iterative Lavrentiev method for nonlinear monotone ill-posed operators pp. 341-356

D. Pradeep and M. P. Rajan

On classification of certain class of CP-groups pp. 357-362

Zeinab Foruzanfar and Mehdi Rezaei

On generalized weighted dynamic inequalities for diamond $$-\propto$$ - ∝ integral on time scales calculus pp. 363-376

Lütfi Akın

On discrete mean value of automorphic L-functions $$^{*}$$ ∗ pp. 377-387

Yu Chen and Weili Yao

A note on the sum of cubic residues with even and odd index pp. 388-391

V. P. Ramesh, Gowtham R. and Saswati Sinha

An elementary approach to the generalized Ramanujan–Nagell equation pp. 392-399

Elif Kızıldere Mutlu, Maohua Le and Gökhan Soydan

Reciprocal distance signless Laplacian spread of connected graphs pp. 400-411

Yuzheng Ma, Yubin Gao and Yanling Shao

Addits in time ordered product systems pp. 412-418

Biljana Vujošević

The local properties of some subclasses of plurisubharmonic functions pp. 419-424

Hoang Nhat Quy