Patkowski Alexander E.: On special Riemann xi function formulae of Hardy involving the digamma function. In: Acta scientiarum mathematicarum, (87) 1-2. pp. 225-232. (2021)
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Abstract
We consider some properties of integrals considered by Hardy and Koshliakov that have connections to the digamma function. We establish a new general integral formula that provides a connection to the polygamma function. We also obtain lower and upper bounds for Hardy’s integral through properties of the digamma function.
| Item Type: | Article |
|---|---|
| Heading title: | Analysis |
| Journal or Publication Title: | Acta scientiarum mathematicarum |
| Date: | 2021 |
| Volume: | 87 |
| Number: | 1-2 |
| ISSN: | 2064-8316 |
| Page Range: | pp. 225-232 |
| Language: | English |
| Publisher: | Bolyai Institute, University of Szeged |
| Place of Publication: | Szeged |
| Related URLs: | http://acta.bibl.u-szeged.hu/73791/ |
| DOI: | 10.14232/actasm-020-664-3 |
| Uncontrolled Keywords: | Matematika |
| Additional Information: | Bibliogr.: p. 231-232. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2021. Nov. 16. 08:49 |
| Last Modified: | 2026. Feb. 18. 13:21 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73926 |
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