Sums of zeros for certain special functions

Author: Zhang Ruiming  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.21, Iss.5, 2010-05, pp. : 351-365

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

In this work we evaluate certain multiple sums of the zeros for the Bessel function Jν(z), the Airy function A(z), the Riemann zeta function ζ(z), L-series L(s, χ) with real primitive characters, Ramanujan's entire function (a.k.a. q-Airy function) Aq(z), and the q-Bessel function [image omitted] .