Closed form expressions for derivatives of Bessel functions with respect to the order
Classical Analysis and ODEs
2020-06-12 v4
Abstract
We have used recent integral representations of the derivatives of the Bessel functions with respect to the order to obtain closed-form expressions in terms of generalized hypergeometric functions and Meijer- functions. Also, we have carried out similar calculations for the derivatives of the modified Bessel functions with respect to the order, obtaining closed-form expressions as well. For this purpose, we have obtained integral representations of the derivatives of the modified Bessel functions with respect to the order. As by-products, we have calculated two non-tabulated integrals.
Keywords
Cite
@article{arxiv.1711.06849,
title = {Closed form expressions for derivatives of Bessel functions with respect to the order},
author = {J. L. González-Santander},
journal= {arXiv preprint arXiv:1711.06849},
year = {2020}
}