Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function. In addition, investigate several important properties namely integral representation, derivatives, recurrence relation, Beta transform and Mel...
Main Authors: | , , , , |
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2020-01-01
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Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/10.3934/math.2020096/fulltext.html |
Summary: | The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function. In addition, investigate several important properties namely integral representation, derivatives, recurrence relation, Beta transform and Mellin transform. Further, certain properties of the Riemann-Liouville fractional calculus associated with extended generalized Bessel-Maitland function are also investigated. |
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ISSN: | 2473-6988 |