Expansion of a class of functions into an integral involving associated Legendre functions
Nanigopal Mandal, Birendra Nath Mandal · International Journal of Mathematics and Mathematical Sciences · 1993
A theorem for expansion of a class of functions into an integral involving associated Legendre functions is obtained in this paper. This is a somewhat general integral expansion formula for a function f(x) defined in (x1, x2) where −1 < x1 < x2 < 1, which is perhaps useful in solving certain boundary value problems of mathematical physics and of elasticity involving conical boundaries.