Mittag-Leffler Theorem problem
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Problem: Obtain a partial fraction expansion of 1 / [(e^z) - 1].
I was told that the solution should be (1/z) - (1/2) + 2z summ inf;n=1 [1/
{(4n^2)(pi^2)+(z^2)}] z not = 0, +-2ipi,+-4ipi,
I need to get this solution with the Mittag-Leffler theorem, convergenc, and evaluating the constant.
I also know that 1 / [(e^z) - 1] = 1/2 + (i/2)cot(iz/2).
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Solution Summary
The expert examines Mittag-Leffler Theorem problems.
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Explanations:
Using the result for cot on page 214 of Hahn and Epstein, we ...
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