A new extension of Bessel-Maitland function and its properties

Authors

  • M. Ghayasuddin Department of Mathematics, Faculty of Science, Integral University, Lucknow-226026, India Author
  • W. A. Khan Department of Mathematics, Faculty of Science, Integral University, Lucknow-226026, India Author

Keywords:

Generalized Bessel-Maitland function, Wright hypergeometric function, fractional calculus

Subjects:

42C05, 33C45

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.

Downloads

Published

2018-10-15

Issue

Vol. 70 No. 4 (2018): Vol. 70, Issue 4

Section

Articles

License

Copyright (c) 2018 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.