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MathGroup Archive 1992

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A potatoe of a residu!

  • To: mathgroup at
  • Subject: A potatoe of a residu!
  • From: tleaf at (Leaf Turner)
  • Date: Thu, 17 Sep 92 14:53:38 MDT

What should be spelled C-I-N-C-H is the result of inputting

Residue[1/Sinh[z],{z,I Pi}] .

This should be the same as inputting

Residue[1/(I Sin[-I z]),{z,I Pi}] .

Both inputs result in the output

Residue[Csch[z],{z, I Pi}].

To feed Mathematica the dictionary necessary to get over the hurdle,  
one must input

Residue[2/(Exp[z]-Exp[-z]),{z,I Pi}].
This results in the correct output, -1.


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