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arXiv · 1402.4629

On summation of the Taylor series of the function 1/(1-z) by the theta summation method

V. Katsnelson
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Abstract

The family of the Taylor series f_{\epsilon}(z)= \sum\limits_{0\leq{}n<\infty}e^{-\epsilon n^2}z^n is considered, where the parameter \epsilon, which enumerates the family, runs over ]0,\infty[. The limiting behavior of this family is studied as \epsilon\to+0.

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V. Katsnelson. 2014-02-19. On summation of the Taylor series of the function 1/(1-z) by the theta summation method. https://arxiv.org/abs/1402.4629

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