On special Riemann xi function formulae of Hardy involving the digamma function
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 o...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2021
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| Sorozat: | Acta scientiarum mathematicarum
87 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| doi: | 10.14232/actasm-020-664-3 |
| Online Access: | http://acta.bibl.u-szeged.hu/73926 |
| Tartalmi kivonat: | 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. |
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| Terjedelem/Fizikai jellemzők: | 225-232 |
| ISSN: | 2064-8316 |