Generalized fractional integral formulas for the \(k\)-Bessel function
type: Item
instance of: scholarly article
title: Generalized fractional integral formulas for the \(k\)-Bessel function
zbMATH Open document ID: 1487.33003
DOI: 10.1155/2018/5198621
author: D. L. Suthar
author: Mengesha Ayene
published in: Journal of Mathematics
publication date: 2019-02-26T00:00:00Z
review text: Summary: The aim of this paper is to deal with two integral transforms involving the Appell function as their kernels. We prove some compositions formulas for generalized fractional integrals with \(k\)-Bessel function. The results are expressed in terms of generalized Wright type hypergeometric function and generalized hypergeometric series. Also, the authors presented some related assertion for Saigo, Riemann-Liouville type, and Erdélyi-Kober type fractional integral transforms.
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 44A15
zbMATH DE Number: 7029797
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5198621
OpenAlex ID: W2890049324
cites work: Q3526206
cites work: Q5824493
cites work: Q4582692
cites work: Certain sequences involving product of k-Bessel function
cites work: Q5346675
cites work: Integral representations of the \(k\)-Bessel's function
cites work: Certain fractional kinetic equations involving generalized \(k\)-Bessel function
cites work: Q4250600
cites work: Q4768170
cites work: Q3345085
cites work: Q3579593
cites work: Q5820721
cites work: The Asymptotic Expansion of the Generalized Hypergeometric Function
cites work: The asymptotic expansion of integral functions defined by Taylor series
cites work: Q4438579
cites work: Q4183784
cites work: Generalized fractional integration of Bessel function of the first kind
cites work: Generalized fractional integral operators involving Mittag-Leffler function
cites work: Marichev-Saigo-Maeda fractional integration operators involving generalized Bessel functions
cites work: Some unified integrals associated with generalized struve function
cites work: Marichev-Saigo-Maeda fractional integration operators of the Bessel functions
cites work: Q3141895
describes a project that uses: Digital Library of Mathematical Functions
description: scientific article; zbMATH DE number 7029797