| dc.contributor.author |
Dixit, Atul |
|
| dc.contributor.author |
Sathyanarayana, Sumukha |
|
| dc.contributor.author |
Sharan, N. Guru |
|
| dc.coverage.spatial |
United Kingdom |
|
| dc.date.accessioned |
2025-06-06T12:12:05Z |
|
| dc.date.available |
2025-06-06T12:12:05Z |
|
| dc.date.issued |
2025-07 |
|
| dc.identifier.citation |
Dixit, Atul; Sathyanarayana, Sumukha and Sharan, N. Guru, "On a function of Ramanujan twisted by a logarithm", The Ramanujan Journal, DOI: 10.1007/s11139-025-01125-3, vol. 67, no. 3, Jul. 2025. |
|
| dc.identifier.issn |
1382-4090 |
|
| dc.identifier.issn |
1572-9303 |
|
| dc.identifier.uri |
https://doi.org/10.1007/s11139-025-01125-3 |
|
| dc.identifier.uri |
https://repository.iitgn.ac.in/handle/123456789/11483 |
|
| dc.description.abstract |
A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on p. 220 of Ramanujan’s Lost Notebook as well as a corresponding recent result for the derivative of Deninger’s function are two main ingredients in its derivation. An interesting integral H (x), which is of independent interest, plays a prominent role in our functional equation. Several alternative representations for H (x) are obtained. |
|
| dc.description.statementofresponsibility |
by Atul Dixit, Sumukha Sathyanarayana and N. Guru Sharan |
|
| dc.format.extent |
vol. 67, no. 3 |
|
| dc.language.iso |
en_US |
|
| dc.publisher |
Springer |
|
| dc.subject |
Ramanujan's transformation |
|
| dc.subject |
Generalized digamma functions |
|
| dc.subject |
Modular relation |
|
| dc.title |
On a function of Ramanujan twisted by a logarithm |
|
| dc.type |
Article |
|
| dc.relation.journal |
The Ramanujan Journal |
|