@article{Reynolds2022, 
author = {Robert Reynolds and Allan Stauffer},
title = {A quintuple integral involving the product of Hermite polynomial        H          n        (  β  x  ) and parabolic cylinder function        D          v        (  α  t  ): derivation and evaluation},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {5},
pages = {7464-7470},
keywords = {parabolic cylinder function, quintuple integral, Lerch function, Cauchy integral},
url = {https://www.sciopen.com/article/10.3934/math.2022418},
doi = {10.3934/math.2022418},
abstract = {In this paper, we derive an integral transform involving the product of Hermite polynomial        H          n        (  β  x  ) and parabolic cylinder function        D          v        (  α  t  ). These integral transforms will be evaluated in terms of Lerch function. Various formulae are also evaluated in terms of special functions to complete this paper. All the results in this paper are new.}
}