THE NOVEL BESSEL--MAITLAND FUNCTION INVOLVING SOME CHARACTERISTIC PROPERTIES AND INTEGRAL TRANSFORMS

Inspired by certain recent generalizations of the Bessel-Maitland function in this paper, we introduce a new extension of the Bessel-Maitland function associated with the beta function. Some of its characteristic properties including integral representation, recurrence relation and differentiation f...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 15; no. 6; p. 1568
Main Authors Khan, Nabiullah, Sk, Rakibul
Format Journal Article
LanguageEnglish
Published Turkic World Mathematical Society 01.06.2025
Subjects
Bessel functions
Integrals
Transformations (Mathematics)
India
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Summary:Inspired by certain recent generalizations of the Bessel-Maitland function in this paper, we introduce a new extension of the Bessel-Maitland function associated with the beta function. Some of its characteristic properties including integral representation, recurrence relation and differentiation formula are investigated. Furthermore, we evaluated some integral transforms such as the Mellin transform, K- transform, Euler transform, Laplace transform and Whittaker transform. In addition, we investigated Riemann-Liouville fractional integrals for this Bessel-Maitland function. Keywords: Bessel--Maitland function, beta function, fractional derivative, Mellin transform, Laplace transform, Whittaker transform. AMS Subject Classification: 33B15, 33C10, 26A33, 35A22, 33C45, 33C15, 33C20.
ISSN:2146-1147