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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.

Asymptotic formulas for unified elliptic-type integrals

Saxena R. K., Pathan M. A.

Demonstratio Mathematica

2003

Vol. 36, nr 3

579--589

The object of this article is to present a unification and generalisation of certain families of elliptic-type integrals which were studied in a number of earlier works on the subject due to their importance for possible applications in certain problems arising in radiation physics and nuclear technology. The results obtained are of general character and include the investigations carried out by several authors including Srivastava and Siddiqi, Kalla and Tuan, Al-Zamel et al and Saxena et al.