Self-reciprocal functions and double Mordell integrals
Classical Analysis and ODEs
2021-10-28 v1
Abstract
The theory of self-reciprocal functions is applied to the study Mordell type integrals. We find two particular eigenfunctions of the double cosine Fourier transform and then use them to evaluate certain one- and two-dimensional Mordell type integrals in closed form. A reduction formula is given for a certain family of double Mordell integrals in terms of one-dimensional integrals.
Cite
@article{arxiv.2110.14337,
title = {Self-reciprocal functions and double Mordell integrals},
author = {Martin Nicholson},
journal= {arXiv preprint arXiv:2110.14337},
year = {2021}
}
Comments
10 pages