A NOVEL KIND OF THE MULTI-INDEX WHITTAKER FUNCTION AND ITS CERTAIN PROPERTIES

Musharraf Ali; Mohd Ghayasuddin; Waseem A. Khan; Kottakkaran S. Nisar

doi:10.12732/ijam.v34i6.1

A NOVEL KIND OF THE MULTI-INDEX WHITTAKER FUNCTION AND ITS CERTAIN PROPERTIES

Musharraf Ali
, Mohd Ghayasuddin
, Waseem A. Khan
, Kottakkaran S. Nisar

Mathematics

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

1 Scopus citations

Abstract

In this paper, we propose a novel expansion of the Whitta function M_n,z(w) by utilizing the known expanded confluent hypergeomet function of the first kind (Formula presented)⁾(k₂; k₃; w). Moreover, some integ representations, transformation formulae, integral transforms and a different formula also established.

Original language	English
Pages (from-to)	1031-1047
Number of pages	17
Journal	International Journal of Applied Mathematics
Volume	34
Issue number	6
DOIs	https://doi.org/10.12732/ijam.v34i6.1
State	Published - 2021

Keywords

Beta function
Gauss hypergeometric function
Whittaker function
confluent hypergeometric function
expanded Beta function
expanded Whittaker function
expanded confluent hypergeometric function

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10.12732/ijam.v34i6.1

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title = "A NOVEL KIND OF THE MULTI-INDEX WHITTAKER FUNCTION AND ITS CERTAIN PROPERTIES",

abstract = "In this paper, we propose a novel expansion of the Whitta function Mn,z(w) by utilizing the known expanded confluent hypergeomet function of the first kind (Formula presented))(k2; k3; w). Moreover, some integ representations, transformation formulae, integral transforms and a different formula also established.",

keywords = "Beta function, Gauss hypergeometric function, Whittaker function, confluent hypergeometric function, expanded Beta function, expanded Whittaker function, expanded confluent hypergeometric function",

author = "Musharraf Ali and Mohd Ghayasuddin and Khan, \{Waseem A.\} and Nisar, \{Kottakkaran S.\}",

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AU - Ali, Musharraf

AU - Ghayasuddin, Mohd

AU - Khan, Waseem A.

AU - Nisar, Kottakkaran S.

PY - 2021

Y1 - 2021

N2 - In this paper, we propose a novel expansion of the Whitta function Mn,z(w) by utilizing the known expanded confluent hypergeomet function of the first kind (Formula presented))(k2; k3; w). Moreover, some integ representations, transformation formulae, integral transforms and a different formula also established.

AB - In this paper, we propose a novel expansion of the Whitta function Mn,z(w) by utilizing the known expanded confluent hypergeomet function of the first kind (Formula presented))(k2; k3; w). Moreover, some integ representations, transformation formulae, integral transforms and a different formula also established.

KW - Beta function

KW - Gauss hypergeometric function

KW - Whittaker function

KW - confluent hypergeometric function

KW - expanded Beta function

KW - expanded Whittaker function

KW - expanded confluent hypergeometric function

UR - https://www.scopus.com/pages/publications/85124369800

U2 - 10.12732/ijam.v34i6.1

DO - 10.12732/ijam.v34i6.1

M3 - Article

AN - SCOPUS:85124369800

SN - 1311-1728

VL - 34

SP - 1031

EP - 1047

JO - International Journal of Applied Mathematics

JF - International Journal of Applied Mathematics

IS - 6

ER -

A NOVEL KIND OF THE MULTI-INDEX WHITTAKER FUNCTION AND ITS CERTAIN PROPERTIES

Abstract

Keywords

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