Generalized fractional integration of κ-Bessel function

G. Rahman; K. S. Nisar; S. Mubeen; M. Arshad

doi:10.17777/ascm2017.27.4.561

Generalized fractional integration of κ-Bessel function

G. Rahman
, K. S. Nisar
, S. Mubeen
, M. Arshad

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this present paper our aim is to deal with two integral transforms which involving the Gauss hypergeometric function as its kernels. We prove some compositions formulas for such a generalized fractional integrals with /c-Bessel function. The results are established in terms of generalized Wright type hypergeometric function and generalized hypergeometric series. Also, the authors presented some corresponding assertions for RiemannLiouville and ErdélyiKober fractional integral transforms.

Original language	English
Pages (from-to)	561-570
Number of pages	10
Journal	Advanced Studies in Contemporary Mathematics (Kyungshang)
Volume	27
Issue number	4
DOIs	https://doi.org/10.17777/ascm2017.27.4.561
State	Published - 2017

Keywords

Bessel function
Fractional integral operator
Generalized hypergeometric function
Generalized Wright function

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10.17777/ascm2017.27.4.561

Cite this

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title = "Generalized fractional integration of κ-Bessel function",

abstract = "In this present paper our aim is to deal with two integral transforms which involving the Gauss hypergeometric function as its kernels. We prove some compositions formulas for such a generalized fractional integrals with /c-Bessel function. The results are established in terms of generalized Wright type hypergeometric function and generalized hypergeometric series. Also, the authors presented some corresponding assertions for RiemannLiouville and Erd{\'e}lyiKober fractional integral transforms.",

keywords = "Bessel function, Fractional integral operator, Generalized hypergeometric function, Generalized Wright function",

author = "G. Rahman and Nisar, \{K. S.\} and S. Mubeen and M. Arshad",

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T1 - Generalized fractional integration of κ-Bessel function

AU - Rahman, G.

AU - Nisar, K. S.

AU - Mubeen, S.

AU - Arshad, M.

PY - 2017

Y1 - 2017

N2 - In this present paper our aim is to deal with two integral transforms which involving the Gauss hypergeometric function as its kernels. We prove some compositions formulas for such a generalized fractional integrals with /c-Bessel function. The results are established in terms of generalized Wright type hypergeometric function and generalized hypergeometric series. Also, the authors presented some corresponding assertions for RiemannLiouville and ErdélyiKober fractional integral transforms.

AB - In this present paper our aim is to deal with two integral transforms which involving the Gauss hypergeometric function as its kernels. We prove some compositions formulas for such a generalized fractional integrals with /c-Bessel function. The results are established in terms of generalized Wright type hypergeometric function and generalized hypergeometric series. Also, the authors presented some corresponding assertions for RiemannLiouville and ErdélyiKober fractional integral transforms.

KW - Bessel function

KW - Fractional integral operator

KW - Generalized hypergeometric function

KW - Generalized Wright function

UR - https://www.scopus.com/pages/publications/85049427700

U2 - 10.17777/ascm2017.27.4.561

DO - 10.17777/ascm2017.27.4.561

M3 - Article

AN - SCOPUS:85049427700

SN - 1229-3067

VL - 27

SP - 561

EP - 570

JO - Advanced Studies in Contemporary Mathematics (Kyungshang)

JF - Advanced Studies in Contemporary Mathematics (Kyungshang)

IS - 4

ER -

Generalized fractional integration of κ-Bessel function

Abstract

Keywords

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