Difference between revisions of "Digamma functional equation"
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Revision as of 15:47, 23 June 2016
Theorem
The following formula holds: $$\psi(z)=\psi(z+1)-\dfrac{1}{z},$$ where $\psi$ denotes the digamma function.
Proof
References
- 1953: Harry Bateman: Higher Transcendental Functions Volume I ... (previous) ... (next): $\S 1.7 (8)$