Evaluation of a generalized elliptic-type integral

Abstract

where 0 :-::; k< 1, a nd j is a positive integer, occ ur in a r adiation fi cld problem. Expressions for [loCk ) and [ll (k ) have been derived in terms of co mpl ete ellip t ic integrals of t he first a nd second kinds. Using these values, and t he r ecursion formula