Digamma functional equation
From specialfunctionswiki
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): $\S 1.7 (8)$
