Extended Mellin integral representations for the absolute value of the gamma function
We derive Mellin integral representations in terms of Macdonald functions for the squared absolute value s↦|Γ(a+is)|2 of the gamma function and its Fourier transform when a<0 is non-integer, generalizing known results in the case a>0. This representation is based on a renormalization argument...
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| Format: | Journal Article |
| Language: | English |
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2018
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| Online Access: | https://hdl.handle.net/10356/89152 http://hdl.handle.net/10220/44811 |