Abstract
We obtain a new proof of Hurwitz’s formula for the Hurwitz zeta function [Formula: see text] beginning with Hermite’s formula. The aim is to reveal a nice connection between [Formula: see text] and a special case of the Lommel function [Formula: see text]. This connection is used to rephrase a modular-type transformation involving infinite series of Hurwitz zeta function in terms of those involving Lommel functions.
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