Certain generating functions involving appell series

Junesang Choi; Praveen Agarwal

Certain generating functions involving appell series

Junesang Choi
, Praveen Agarwal

Dongguk University
International College of Engineering

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

10 Scopus citations

Abstract

Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. Here we aim at presenting (presumably) new generating functions for the Appell's series. Since all the results derived here are of general character, it is noted that they can yield a number of (known and new) generating functions for certain simpler special functions which can be reducible from the Appell's series.

Original language	English
Pages (from-to)	25-32
Number of pages	8
Journal	Far East Journal of Mathematical Sciences
Volume	84
Issue number	1
State	Published - Jan 2014
Externally published	Yes

Keywords

Amma function
Appell series
Gauss hypergeometric function F
Generating functions
Pochhammer symbol

Cite this

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title = "Certain generating functions involving appell series",

abstract = "Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. Here we aim at presenting (presumably) new generating functions for the Appell's series. Since all the results derived here are of general character, it is noted that they can yield a number of (known and new) generating functions for certain simpler special functions which can be reducible from the Appell's series.",

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author = "Junesang Choi and Praveen Agarwal",

year = "2014",

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language = "English",

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journal = "Far East Journal of Mathematical Sciences",

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T1 - Certain generating functions involving appell series

AU - Choi, Junesang

AU - Agarwal, Praveen

PY - 2014/1

Y1 - 2014/1

N2 - Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. Here we aim at presenting (presumably) new generating functions for the Appell's series. Since all the results derived here are of general character, it is noted that they can yield a number of (known and new) generating functions for certain simpler special functions which can be reducible from the Appell's series.

AB - Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. Here we aim at presenting (presumably) new generating functions for the Appell's series. Since all the results derived here are of general character, it is noted that they can yield a number of (known and new) generating functions for certain simpler special functions which can be reducible from the Appell's series.

KW - Amma function

KW - Appell series

KW - Gauss hypergeometric function F

KW - Generating functions

KW - Pochhammer symbol

UR - https://www.scopus.com/pages/publications/84900578837

M3 - Article

AN - SCOPUS:84900578837

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SP - 25

EP - 32

JO - Far East Journal of Mathematical Sciences

JF - Far East Journal of Mathematical Sciences

IS - 1

ER -

Certain generating functions involving appell series

Abstract

Keywords

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Cite this