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...

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Published inAIMS mathematics Vol. 5; no. 2; pp. 1400 - 1410
Main Authors L. Suthar, D., M. Khan, A., Alaria, A., D. Purohit, S., Singh, J.
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2020
Subjects
extended bessel-maitland function
extended beta function
integral transform
riemann-liouville fractional calculus operators
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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.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2020096