ON A CLASS OF DUAL INTEGRAL EQUATIONS INVOLVING GENERALIZED ASSOCIATED LEGENDRE FUNCTIONS

摘要

In this paper, we consider certain dual integral equations involving generalized associated Legendre function of first kind and trigonometric functions as kernels. Solutions of these are obtained by using properties of the generalized associated Legendre functions and the inversion formula for the generalized Mehler-Fok transform involving generalized associated Legendre functions of first kind.