Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2021; 36(1): 41-50

Online first article January 4, 2021      Printed January 31, 2021

https://doi.org/10.4134/CKMS.c190441

Copyright © The Korean Mathematical Society.

Some properties of generalized Bessel function associated with generalized fractional calculus operators

Ranjan Kumar Jana, Ankit Pal, Ajay Kumar Shukla

Sardar Vallabhbhai National Institute of Technology; Sardar Vallabhbhai National Institute of Technology; Sardar Vallabhbhai National Institute of Technology

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This paper devoted to obtain some fractional integral properties of generalized Bessel function using pathway fractional integral operator. We also find the pathway transform of the generalized Bessel function in terms of Fox $H$-function.

Keywords: Generalized Bessel function, generalized Wright hypergeometric function, pathway fractional integral operator, $\mathcal{P}$-transform or pathway transform

MSC numbers: Primary 33C10, 26A33, 44A99

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