| dc.contributor.author |
Dixit, Atul |
|
| dc.contributor.author |
Kumar, Rahul |
|
| dc.date.accessioned |
2019-12-11T09:24:59Z |
|
| dc.date.available |
2019-12-11T09:24:59Z |
|
| dc.date.issued |
2019-12 |
|
| dc.identifier.citation |
Dixit, Atul and Kumar, Rahul, "On Hurwitz Zeta funtion and Lommel fundtions ", arXiv, Cornell University Library, DOI: arXiv:1912.01199, Dec. 2019. |
en_US |
| dc.identifier.uri |
http://arxiv.org/abs/1912.01199 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/5025 |
|
| dc.description.abstract |
We obtain a new proof of Hurwitz's formula for the Hurwitz zeta function ?(s,a) beginning with Hermite's formula. The aim is to reveal a nice connection between ?(s,a) and a special case of the Lommel function S?,?(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 |
en_US |
| dc.publisher |
Cornell University Library |
en_US |
| dc.subject |
Number Theory (math.NT) |
en_US |
| dc.subject |
Classical Analysis |
en_US |
| dc.subject |
ODEs (math.CA) |
en_US |
| dc.title |
On Hurwitz Zeta funtion and Lommel fundtions |
en_US |
| dc.type |
Pre-Print |
en_US |
| dc.relation.journal |
arXiv |
|