Tur\'an Type Inequality for The Hahn-Exton $q$-Bessel Functions
Meryam Ben Said
TL;DR
This paper establishes a Turán-type inequality for Hahn-Exton q-Bessel functions using limit transition techniques, contributing to the understanding of inequalities in special functions.
Contribution
It introduces a new Turán-type inequality specifically for Hahn-Exton q-Bessel functions, expanding the theoretical framework of q-special functions.
Findings
Established Turán-type inequality for Hahn-Exton q-Bessel functions
Used limit transition method to derive the inequality
Enhances understanding of inequalities in q-Bessel functions
Abstract
The aim of this paper is to establish Tur\'an -type inequality for the Hahn-Exton -Bessel functions. The result is obtained by the use of limit transition.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Mathematical Inequalities and Applications · Mathematical functions and polynomials