Dixit, AtulAtulDixitKumar, RahulRahulKumar2025-08-312025-08-312021-03-0110.1142/S17930421204000472-s2.0-85091107924http://repository.iitgn.ac.in/handle/IITG2025/23739We obtain a new proof of Hurwitz's formula for the Hurwitz zeta function ζ(s,a) beginning with Hermite's formula. The aim is to reveal a nice connection between ζ(s,a) and a special case of the Lommel function Sμ,ν(z). This connection is used to rephrase a modular-type transformation involving infinite series of Hurwitz zeta function in terms of those involving Lommel functions.falsefunctional equation | Hermite's formula | Hurwitz zeta function | Lommel functions | Riemann zeta functionArticle393-404March 20212arJournal2WOS:000632460500012