A Quadruple Integral Involving the Legendre Function Pn(x) of the First Kind: Derivation and Evaluation
Keywords:Legendre polynomial, quadruple integral, Hurwitz-Lerch zeta function, Cauchy integral formula
A closed form expression of a quadruple integral involving the Legerndre polynomial Pn(x) is derived. Special cases are expressed in terms of special functions and fundamental constants. All the results in this work are new.
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