Relationship between csch and csc
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Theorem
The following formula holds: $$\mathrm{csch}(z)=i \csc(iz),$$ where $\csch$ denotes the hyperbolic cosecant and $\csc$ denotes the cosecant.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous): 4.5.10