A Quadruple Integral Involving the Hermite polynomial Hn(x): Derivation and Evaluation
DOI:
https://doi.org/10.29020/nybg.ejpam.v15i2.4204Keywords:
confluent hypergeometric limit function, Lerch function, Cauchy integral, Ap\'{e}ry's constantAbstract
A closed form expression of a quadruple integral involving the Hermite polynomial Hn(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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