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Journal of Siberian Federal University. Mathematics & Physics, 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
References:
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.
Received: 10.03.2024
Received in revised form: 15.04.2024
Accepted: 26.05.2024
Bibliographic databases:
Document Type: Article
UDC: 517
Language: English
Citation: Ulfat Ansari, Musharraf Ali, Mohd Ghayasuddin, “On generalized Voigt function and its associated properties”, J. Sib. Fed. Univ. Math. Phys., 17:5 (2024), 599–608
Citation in format AMSBIB
\Bibitem{AnsAliGha24}
\by Ulfat~Ansari, Musharraf~Ali, Mohd~Ghayasuddin
\paper On generalized Voigt function and its associated properties
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2024
\vol 17
\issue 5
\pages 599--608
\mathnet{http://mi.mathnet.ru/jsfu1191}
\edn{https://elibrary.ru/HQYJXW}
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    Журнал Сибирского федерального университета. Серия "Математика и физика"
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