Analytic continuation formula for a unified family of Euler-type elliptic integrals

Abstract

Elliptic type integrals have their importance or potential in certain problems in radiation physics and nuclear technology. A number of earlier works on the subject contains several interesting uni cations and generalizations of some significant families of elliptic-type integrals. We obtained analytic continuation formula for a uni ed family of Euler-type elliptic integral and established region of convergence for the same in the present investigation.