Further extension of Voigt function and its properties

Nabiullah Khan; Mohd Ghayasuddin; Waseem A. Khan; Thabet Abdeljawad; Kottakkaran Sooppy Nisar

doi:10.1186/s13662-020-02663-4

Further extension of Voigt function and its properties

Nabiullah Khan
, Mohd Ghayasuddin
, Waseem A. Khan
, Thabet Abdeljawad
, Kottakkaran Sooppy Nisar

Mathematics

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

Abstract

In this paper, by using the confluent hypergeometric function of the first kind, we propose a further extension of the Voigt function and obtain its useful properties as (for example) explicit representation and partly bilateral and partly unilateral representation. By means of the present representations, we derive several (presumably new) generating functions which are partly bilateral and partly unilateral. Some interesting recurrence relations of the Voigt function introduced here are also indicated.

Original language	English
Article number	229
Journal	Advances in Difference Equations
Volume	2020
Issue number	1
DOIs	https://doi.org/10.1186/s13662-020-02663-4
State	Published - 1 Dec 2020

Keywords

Kampé de Fériet function
Srivastava and Daoust function
Voigt function

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10.1186/s13662-020-02663-4

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AU - Nisar, Kottakkaran Sooppy

PY - 2020/12/1

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N2 - In this paper, by using the confluent hypergeometric function of the first kind, we propose a further extension of the Voigt function and obtain its useful properties as (for example) explicit representation and partly bilateral and partly unilateral representation. By means of the present representations, we derive several (presumably new) generating functions which are partly bilateral and partly unilateral. Some interesting recurrence relations of the Voigt function introduced here are also indicated.

AB - In this paper, by using the confluent hypergeometric function of the first kind, we propose a further extension of the Voigt function and obtain its useful properties as (for example) explicit representation and partly bilateral and partly unilateral representation. By means of the present representations, we derive several (presumably new) generating functions which are partly bilateral and partly unilateral. Some interesting recurrence relations of the Voigt function introduced here are also indicated.

KW - Kampé de Fériet function

KW - Srivastava and Daoust function

KW - Voigt function

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DO - 10.1186/s13662-020-02663-4

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JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

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ER -

Further extension of Voigt function and its properties

Abstract

Keywords

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