[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c200202

A NEW EXTENSION OF BESSEL FUNCTION

Chudasama, Meera H. (Department of Mathematical Sciences P. D. Patel Institute of Applied Sciences Charotar University of Science & Technology)

Publication Information

Communications of the Korean Mathematical Society / v.36, no.2, 2021 , pp. 277-298 More about this Journal

Abstract

In this paper, we propose an extension of the classical Bessel function by means of our ℓ-hypergeometric function [2]. As the main results, the infinite order differential equation, the generating function relation, and contour integral representations including Schläfli's integral analogue are derived. With the aid of these, other results including some inequalities are also obtained. At the end, the graphs of these functions are plotted using the Maple software.

Keywords

Hypergeometric function; Bessel function; generating function relation; contour integral; infinite order operator;

Citations & Related Records

Reference

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