On special Riemann xi function formulae of Hardy involving the digamma function

被引：0
作者：
Alexander E. Patkowski
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来源：
Acta Scientiarum Mathematicarum | 2021年 / 87卷
关键词：
11M06; 33C15; Fourier integrals; Riemann xi function; digamma function;
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学科分类号：
摘要：
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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页码：225 / 232
页数：7
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