| dc.contributor.author |
Gupta, Rajat |
|
| dc.contributor.author |
Kumar, Rahul |
|
| dc.coverage.spatial |
United States of America |
|
| dc.date.accessioned |
2022-10-07T13:27:05Z |
|
| dc.date.available |
2022-10-07T13:27:05Z |
|
| dc.date.issued |
2023-02 |
|
| dc.identifier.citation |
Gupta, Rajat and Kumar, Rahul, “Extended higher Herglotz function II”, Journal of Mathematical Analysis and Applications, DOI: 10.1016/j.jmaa.2022.126720, vol. 518, no. 2, Feb. 2023. |
en_US |
| dc.identifier.issn |
0022-247X |
|
| dc.identifier.issn |
1096-0813 |
|
| dc.identifier.uri |
https://doi.org/10.1016/j.jmaa.2022.126720 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/8186 |
|
| dc.description.abstract |
Very recently, Radchenko and Zagier revived the theory of Herglotz functions. The main goal of the article is to show that one of the formulas on page 220 of Ramanujan's Lost Notebook actually lives in the realms of this theory. As a consequence of our general theorem, we derive an interesting identity analogous to Ramanujan's formula for ζ(2m + 1). We also introduce a character analogue of the Herglotz function and initiate its theory by obtaining an elegant functional equation governed by it. |
|
| dc.description.statementofresponsibility |
by Rajat Gupta and Rahul Kumar |
|
| dc.format.extent |
vol. 518, no. 2 |
|
| dc.language.iso |
en_US |
en_US |
| dc.publisher |
Elsevier |
en_US |
| dc.subject |
Herglotz function |
en_US |
| dc.subject |
Functional equations |
en_US |
| dc.subject |
Ramanujan's lost notebook |
en_US |
| dc.subject |
Dirichlet character |
en_US |
| dc.subject |
Ramanujan's formula |
en_US |
| dc.title |
Extended higher Herglotz function II |
en_US |
| dc.type |
Journal Paper |
en_US |
| dc.relation.journal |
Journal of Mathematical Analysis and Applications |
|