Certain integrals associated with the generalized Bessel-Maitland function

Authors

D. L. Suthar, Wollo University
Hafte Amsalu, Wollo University

Abstract

The aim of this paper is to establish two general finite integral formulas involving the generalized Bessel-Maitland functions J^μ,γ_ν,q (z). The result given in terms of generalized (Wright’s) hypergeometric functions pΨq and generalized hypergeometric functions pFq . These results are obtained with the help of finite integral due to Lavoie and Trottier. Some interesting special cases involving Bessel-Maitland function, Struve’s functions, Bessel functions, generalized Bessel functions, Wright function, generalized Mittag-Leffler functions are deduced.

Recommended Citation

Suthar, D. L. and Amsalu, Hafte (2017). Certain integrals associated with the generalized Bessel-Maitland function, Applications and Applied Mathematics: An International Journal (AAM), Vol. 12, Iss. 2, Article 23.
Available at: https://digitalcommons.pvamu.edu/aam/vol12/iss2/23