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Results concerning the analysis of generalized Mittag-Leffler function associated with Euler type integrals

Khan N. U., Khan M. Iqbal

Fasciculi Mathematici

2023

nr 66

49--59

In this paper, we obtain some results on certain Euler type integrals involving generalized Mittag-Leffler function defined by Salim and Faraj [20]. Further, we deduce some special cases involving Mittag-Leffler function, Wiman function, Prabhakar function, exponential, binomial and confluent hypergeometric functions. Moreover, we obtain a relation between Laguerre polynomials and Whittakar function.

Generalized elliptic-type integrals and generating functions

Chaurasia V. B. L., Singh Y.

Demonstratio Mathematica

2014

Vol. 47, nr 2

310--323

On account of analytical importance or application in certain problems in radiation physics and nuclear technology, several interesting families of elliptic-type integrals were recently studied by many authors. The aim and objective of present paper is to obtain certain new theorems on generating functions. The results obtained in this paper are of manifold generality and basic in nature. In addition, to deriving known and various new elliptic-type integrals and their generalizations, these theorems can be used to evaluate various Euler-type integrals involving a number of generating functions.