MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
A new extension of Bessel-Maitland function and its properties
M. Ghayasuddin, W. A. Khan

Abstract

This paper deals with a new extended Bessel-Maitland function. The $m^{th}$ differentiation, Beta transform, Laplace transform, Whittaker transform and various other transforms for our new extended Bessel-Maitland function are presented here. Further, the Riemann-Liouville fractional integration and differentiation for the function introduced here are also indicated.

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Keywords: Generalized Bessel-Maitland function; Wright hypergeometric function; fractional calculus.

MSC: 42C05, 33C45

Pages:  292$-$302     

Volume  70 ,  Issue  4 ,  2018