Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2021; 36(2): 267-276

Online first article February 9, 2021      Printed April 30, 2021

https://doi.org/10.4134/CKMS.c200195

Copyright © The Korean Mathematical Society.

The composition of Hurwitz-Lerch zeta function with pathway integral operator

Nirmal Kumar Jangid, Sunil Joshi, Sunil Dutt Purohit, Daya Lal Suthar

Manipal University Jaipur; Manipal University Jaipur; Rajasthan Technical University; Wollo University

Abstract

The aim of the present investigation is to establish the composition formulas for the pathway fractional integral operator connected with Hurwitz-Lerch zeta function and extended Wright-Bessel function. Some interesting special cases have also been discussed.

Keywords: Hurwitz-Lerch zeta function, extended Wright-Bessel (Bessel-Maitland) function, pathway fractional integral operator

MSC numbers: 33E12, 11M35, 33D05