Generalized Elliptic-Type Integrals and Generating Functions with Aleph-Function

In view of the great importance and applications of elliptic-type integrals in certain problems of radiation physics and nuclear technology, in this paper we obtain certain new theorems on generating functions. The results obtained in the present paper are of manifold generality and basic in nature. Besides deriving various known and new elliptic-type integrals and their generalizations these theorems can be used to evaluate various Euler-type integrals involving a number of generating functions.