A remarkable double integral of the product of two Gaussian hypergeometric functions
Classical Analysis and ODEs
2023-02-28 v1
Abstract
In this paper a double integral containing two Gaussian hypergeometric functions is discussed. The integral is not found in the literature and a direct computation is not (yet) possible. Therefore, a complete different integral is computed by two methods. The first method gives a combination of hypergeometric functions and the requested original integral, while with the second method this different integral can be computed directly. Equalization of the results from both methods gives the requested integral.
Keywords
Cite
@article{arxiv.2302.13901,
title = {A remarkable double integral of the product of two Gaussian hypergeometric functions},
author = {E. Diekema},
journal= {arXiv preprint arXiv:2302.13901},
year = {2023}
}