Generating functions for the generalized appell function

Shilpi Jain; Junesang Choi; Praveen Agarwal

doi:10.12988/Ijma.2016.510254

Generating functions for the generalized appell function

Shilpi Jain
, Junesang Choi
, Praveen Agarwal

Poornima College of Engineering
Dongguk University
International College of Engineering

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

3 Scopus citations

Abstract

Various families of generating functions have been established in di-verse ways. The object of this paper is to establish certain (presumably) new generating functions for the extended Appell hypergeometric func-tion F₂ (a, b, b', c, c', x, y, p, μ). Some special cases of the main result here are also considered.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	International Journal of Mathematical Analysis
Volume	10
Issue number	1-4
DOIs	https://doi.org/10.12988/Ijma.2016.510254
State	Published - 2016
Externally published	Yes

Keywords

Extended beta function
Extended hypergeometric function
Extended second appell function
Generating functions
Second appell function

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10.12988/Ijma.2016.510254

Cite this

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title = "Generating functions for the generalized appell function",

abstract = "Various families of generating functions have been established in di-verse ways. The object of this paper is to establish certain (presumably) new generating functions for the extended Appell hypergeometric func-tion F2 (a, b, b', c, c', x, y, p, μ). Some special cases of the main result here are also considered.",

keywords = "Extended beta function, Extended hypergeometric function, Extended second appell function, Generating functions, Second appell function",

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AU - Jain, Shilpi

AU - Choi, Junesang

AU - Agarwal, Praveen

PY - 2016

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AB - Various families of generating functions have been established in di-verse ways. The object of this paper is to establish certain (presumably) new generating functions for the extended Appell hypergeometric func-tion F2 (a, b, b', c, c', x, y, p, μ). Some special cases of the main result here are also considered.

KW - Extended beta function

KW - Extended hypergeometric function

KW - Extended second appell function

KW - Generating functions

KW - Second appell function

UR - https://www.scopus.com/pages/publications/84964787359

U2 - 10.12988/Ijma.2016.510254

DO - 10.12988/Ijma.2016.510254

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SP - 1

EP - 7

JO - International Journal of Mathematical Analysis

JF - International Journal of Mathematical Analysis

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ER -

Generating functions for the generalized appell function

Abstract

Keywords

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