Title of article :
Certain integrals involving generalized Mittag-Leffler type functions
Author/Authors :
Haq ، Sirazul Department of Applied Science - J.S. University , Aphane ، Maggie Department of Mathematics and Applied Mathematics - Sefako Makgatho Health Sciences University , Khan ، Mohammad Saeed Department of Mathematics and Applied Mathematics - Sefako Makgatho Health Sciences University , Fabiano ، Nikola “Vinča” Institute of Nuclear Sciences - National Institute of the Republic of Serbia - University of Belgrade
Abstract :
Introduction/purpose: Certain integrals involving the generalized Mittag-Leffler function with different types of polynomials are established. Methods: The properties of the generalized Mittag-Leffler function are used in conjunction with different kinds of polynomials such as Jacobi, Legendre, and Hermite in order to evaluate their integrals. Results: Some integral formulae involving the Legendre function, the Bessel Maitland function and the generalized hypergeometric functions are derived. Conclusions: The results obtained here are general in nature and could be useful to establish further integral formulae involving other kinds of polynomials.
Keywords :
Mittag , Leffler function , Generalized hypergeometric function , Bessel Maitland function , Jacobi polynomials , Hermite polynomials ,
Journal title :
Military Technical Courier
Journal title :
Military Technical Courier
