The study of dual integral equations with generalized Legendre functions

Closed form solutions for dual integral equations involving generalized Legendre functions as kernels are obtained. Connected to these dual integral equations an exact solution for dual integral equations involving sine functions as kernels is also obtained. Properties of generalized Legendre functions and the inversion theorem for the generalized Mehler–Fock transforms are used to obtain the solution of dual integral equations  2004 Elsevier Inc. All rights reserved