Applications of q -Bessel-Struve Functions on Univalent Functions

Saddaf Noreen, Saiful R. Mondal, Muhey U. Din (), Saima Mushtaq, Zhang Wei and Adil Murtaza
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Saddaf Noreen: School of Physics and Optoelectronic Engineering, Guangdong University of Technology, Guangzhou 510006, China
Saiful R. Mondal: Department of Mathematics and Statistics, College of Science, King Faisal University, Al Hasa 31982, Saudi Arabia
Muhey U. Din: Department of Mathematics, Government Islamia Graduate College, Sargodha Road, Faisalabad 38000, Pakistan
Saima Mushtaq: Department of Mathematics, The Superior University, Lahore 54000, Pakistan
Zhang Wei: School of Physics and Optoelectronic Engineering, Guangdong University of Technology, Guangzhou 510006, China
Adil Murtaza: School of Physics and Optoelectronic Engineering, Guangdong University of Technology, Guangzhou 510006, China

Mathematics, 2025, vol. 13, issue 13, 1-19

Abstract: In this paper, the authors derived some new sufficient conditions for q -close-to-convexity with respect to certain functions involving three different normalizations of q -Bessel–Struve functions. These new inequalities, under which the three normalizations of q -Bessel–Struve functions are q -close-to-convex associated with certain functions, hold for v ≥ − 3 2 and for all q ∈ 0 , 1 . The work is new and has great importance because it shows the pivotal role between the q -special functions and geometric function theory.

Keywords: q-Bessel–Struve functions; close-to-convexity; starlike; q-close-to-convex; univalent functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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