On Kudriasov Conditions for Univalence of Integral Operators Defined by Generalized Bessel Functions

Mohsan Raza, Sarfraz Nawaz Malik, Qin Xin, Muhey U. Din and Luminiţa-Ioana Cotîrlă
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Mohsan Raza: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Sarfraz Nawaz Malik: Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan
Qin Xin: Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark
Muhey U. Din: Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan
Luminiţa-Ioana Cotîrlă: Department of Mathematics, Technical University of Cluj-Napoca, 400114 Cluj-Napoca, Romania

Mathematics, 2022, vol. 10, issue 9, 1-18

Abstract: In this article, we studied the necessary conditions for the univalence of integral operators that involve two functions: the generalized Bessel function and a function from the well-known class of normalized analytic functions in the open unit disk. The main tools for our discussions were the Kudriasov conditions for the univalency of functions, as well as functional inequalities for the generalized Bessel functions. We included the conditions for the univalency of integral operators that involve Bessel, modified Bessel and spherical Bessel functions as special cases. Furthermore, we provided sufficient conditions for the integral operators that involve trigonometric, as well as hyperbolic, functions as an application of our results.

Keywords: Bessel functions; modified Bessel functions; spherical Bessel functions; integral operators; Kudriasov conditions; univalence criteria (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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