On special Riemann xi function formulae of Hardy involving the digamma function
- 1 June 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Acta Scientiarum Mathematicarum
- Vol. 87 (1-2), 225-232
- https://doi.org/10.14232/actasm-020-664-3
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.Keywords
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