BesselK Derivatives with respect to Order at one half
Classical Analysis and ODEs
2021-05-04 v1
Abstract
The order derivatives of the modified Bessel function of the second kind at s = .5 are obtained as finite expressions of integrals that generalize the exponential integral appearing in the first derivative (Theorem 1.) The derivatives arise in the investigation of a BesselK relationship with the Riemann zeta function. Any use of the term, derivative, with respect to a Bessel function, here means a derivative with respect to its order.
Cite
@article{arxiv.2105.00869,
title = {BesselK Derivatives with respect to Order at one half},
author = {Charles Ryavec},
journal= {arXiv preprint arXiv:2105.00869},
year = {2021}
}