Difference between revisions of "Relationship between coth and cot"

From specialfunctionswiki
Jump to: navigation, search
 
Line 7: Line 7:
  
 
==References==
 
==References==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Relationship between sech and sec|next=Period of sinh}}: 4.5.12
+
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Relationship between sech and sec|next=Period of sinh}}: $4.5.12$
  
 
[[Category:Theorem]]
 
[[Category:Theorem]]
 
[[Category:Unproven]]
 
[[Category:Unproven]]

Latest revision as of 19:38, 22 November 2016

Theorem

The following formula holds: $$\coth(z)=i\cot(iz),$$ where $\coth$ denotes the hyperbolic cotangent and $\cot$ denotes the cotangent.

Proof

References