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http://dx.doi.org/10.4134/CKMS.c190441

SOME PROPERTIES OF GENERALIZED BESSEL FUNCTION ASSOCIATED WITH GENERALIZED FRACTIONAL CALCULUS OPERATORS  

Jana, Ranjan Kumar (Department of Applied Mathematics and Humanities Sardar Vallabhbhai National Institute of Technology)
Pal, Ankit (Department of Applied Mathematics and Humanities Sardar Vallabhbhai National Institute of Technology)
Shukla, Ajay Kumar (Department of Applied Mathematics and Humanities Sardar Vallabhbhai National Institute of Technology)
Publication Information
Communications of the Korean Mathematical Society / v.36, no.1, 2021 , pp. 41-50 More about this Journal
Abstract
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;
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