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Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
Journal article   Open access  Peer reviewed

Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus

D. L. Suthar, A. M. Khan, A. Alaria, S. D. Purohit, J. Singh and 4 Department of HEAS(Mathematics), Rajasthan Technical University, Kota-324010, India
AIMS mathematics, Vol.5(2), pp.1400-1410
01/01/2020

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.
url
https://doi.org/10.3934/math.2020096View
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