Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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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)
  • Received : 2020.06.13
  • Accepted : 2020.11.16
  • Published : 2021.04.30
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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.

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Acknowledgement

Author is indebted to her guide Prof. B. I. Dave, for his valuable guidance. Author sincerely thanks the referee(s) for going through the manuscript critically and giving the valuable comments of the manuscript.

References

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