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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.

Unified elliptic-type integrals and asymptotic formulas

Chaurasia V., Pandey S.

Demonstratio Mathematica

2008

Vol. 41, nr 3

531-541

The object of the present paper is to consider a unified and extended form of certain families of elliptic-type integrals, which have been discussed in number of earlier works on the subject due to their importance and applications in problems arising in radiation physics and nuclear technology. The results obtained are of general character and include the investigations carried out by several authors. We obtain asymptotic formulas for the unified elliptic-type integrals.