On Hurwitz zeta function and Lommel functions

dc.contributor.author	Dixit, Atul
dc.contributor.author	Kumar, Rahul
dc.contributor.other	Analytic and Combinatorial Number Theory: The Legacy of Ramanujan 2019
dc.coverage.spatial	United States of America
dc.date.accessioned	2024-09-27T09:29:34Z
dc.date.available	2024-09-27T09:29:34Z
dc.date.issued	2019-06-06
dc.identifier.citation	Dixit, Atul and Kumar, Rahul, "On Hurwitz zeta function and Lommel functions", in the Analytic and Combinatorial Number Theory: The Legacy of Ramanujan 2019, Champaign, US, Jun. 6-9, 2019.
dc.identifier.uri	https://doi.org/10.1142/9789811277375_0012
dc.identifier.uri	https://repository.iitgn.ac.in/handle/123456789/10606
dc.description.abstract	We 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.
dc.description.statementofresponsibility	by Atul Dixit and Rahul Kumar
dc.language.iso	en_US
dc.subject	Hurwitz zeta function
dc.subject	Lommel functions
dc.subject	Riemann zeta function
dc.subject	Hermite�s formula
dc.subject	Functional equation
dc.title	On Hurwitz zeta function and Lommel functions
dc.type	Conference Paper