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EXPANSION OF A CLASS OF FUNCTIONS INTO AN INTEGRAL INVOLVING ASSOCIATED LEGENDRE FUNCTIONS

摘要


A theorem for expansion of a class of functions into an integral involving associated Legendre functions is obtained in this paper. This is a soxnewhat general integral expansion formula for a function f(x) defined in (x_1, x_2) where -1< x_1 < x_2 < 1, which is perhaps useful in solving certain boundary value problems of mathematical physics and of elasticity involving conical boundaries.

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