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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2024 Volume 17, Issue 5, Pages 599–608 (Mi jsfu1191)

On generalized Voigt function and its associated properties

Ulfat Ansariab, Musharraf Aliba, Mohd Ghayasuddinc

a Department of Mathematics, Gandhi Faiz-E-Aam College, Shahjahanpur-242001, India
b Mahatma Jyotiba Phule Rohilkhand University, Bareilly-243006, India
c Department of Mathematics, Integral University, Centre Shahjahanpur-242001, India

Abstract: In the present manuscript, we aim to present a new type of the generalized Voigt function, and investigate its series representations. By using the series representations of our function, we also point out some generating relations associated with the Kampé de Fériet function, Srivastava's triple hypergeometric series, confluent hypergeometric functions of one and two variables, and generalized hypergeometric function. Furthermore, two interesting recurrence relations of our introduced Voigt function are also indicated.

Keywords: voigt function, wright function, kampé de Fériet function, srivastava's triple hypergeometric series.

UDC: 517

Received: 10.03.2024
Received in revised form: 15.04.2024
Accepted: 26.05.2024

Language: English



© Steklov Math. Inst. of RAS, 2025