AN EXTENSION OF THE WHITTAKER FUNCTION

Junesang Choi; Kottakkaran Sooppy Nisar; Gauhar Rahman

doi:10.4134/CKMS.c200311

AN EXTENSION OF THE WHITTAKER FUNCTION

Junesang Choi
, Kottakkaran Sooppy Nisar
, Gauhar Rahman

Mathematics

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

1 Scopus citations

Abstract

The Whittaker function and its diverse extensions have been actively investigated. Here we aim to introduce an extension of the Whit-taker function by using the known extended confluent hypergeometric function Φp,v and investigate some of its formulas such as integral repre-sentations, a transformation formula, Mellin transform, and a differential formula.

Original language	English
Pages (from-to)	705-714
Number of pages	10
Journal	Communications of the Korean Mathematical Society
Volume	36
Issue number	4
DOIs	https://doi.org/10.4134/CKMS.c200311
State	Published - 2021

Keywords

Beta function
Confluent hypergeometric
Extended beta function
Extended confluent hypergeometric function
Extended hy-pergeometric function
Extended whittaker function
Function
Hypergeometric function
Mellin transform
Whittaker function

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10.4134/CKMS.c200311

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title = "AN EXTENSION OF THE WHITTAKER FUNCTION",

abstract = "The Whittaker function and its diverse extensions have been actively investigated. Here we aim to introduce an extension of the Whit-taker function by using the known extended confluent hypergeometric function Φp,v and investigate some of its formulas such as integral repre-sentations, a transformation formula, Mellin transform, and a differential formula.",

keywords = "Beta function, Confluent hypergeometric, Extended beta function, Extended confluent hypergeometric function, Extended hy-pergeometric function, Extended whittaker function, Function, Hypergeometric function, Mellin transform, Whittaker function",

author = "Junesang Choi and Nisar, \{Kottakkaran Sooppy\} and Gauhar Rahman",

note = "Publisher Copyright: {\textcopyright} 2021 Korean Mathematical Society",

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AU - Choi, Junesang

AU - Nisar, Kottakkaran Sooppy

AU - Rahman, Gauhar

PY - 2021

Y1 - 2021

N2 - The Whittaker function and its diverse extensions have been actively investigated. Here we aim to introduce an extension of the Whit-taker function by using the known extended confluent hypergeometric function Φp,v and investigate some of its formulas such as integral repre-sentations, a transformation formula, Mellin transform, and a differential formula.

AB - The Whittaker function and its diverse extensions have been actively investigated. Here we aim to introduce an extension of the Whit-taker function by using the known extended confluent hypergeometric function Φp,v and investigate some of its formulas such as integral repre-sentations, a transformation formula, Mellin transform, and a differential formula.

KW - Beta function

KW - Confluent hypergeometric

KW - Extended beta function

KW - Extended confluent hypergeometric function

KW - Extended hy-pergeometric function

KW - Extended whittaker function

KW - Function

KW - Hypergeometric function

KW - Mellin transform

KW - Whittaker function

UR - https://www.scopus.com/pages/publications/85124012421

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DO - 10.4134/CKMS.c200311

M3 - Article

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SN - 1225-1763

VL - 36

SP - 705

EP - 714

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 4

ER -

AN EXTENSION OF THE WHITTAKER FUNCTION

Abstract

Keywords

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