A Quadruple Integral Involving the Hermite polynomial Hn(x): Derivation and Evaluation

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i2.4204

Keywords:

confluent hypergeometric limit function, Lerch function, Cauchy integral, Ap\'{e}ry's constant

Abstract

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.

Author Biographies

  • Robert Reynolds, York University
    I enjoy, reading, walking, playing tennis. I practise mathemtics in my spare time.
  • Allan Stauffer, York University

    York University

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Published

2022-04-30

Issue

Vol. 15 No. 2: (April 2022)

Section

Topology

License

Copyright (c) 2022 European Journal of Pure and Applied Mathematics

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How to Cite

A Quadruple Integral Involving the Hermite polynomial Hn(x): Derivation and Evaluation. (2022). European Journal of Pure and Applied Mathematics, 15(2), 620-625. https://doi.org/10.29020/nybg.ejpam.v15i2.4204