Representations of functions in series with parameter

Khristo N. Boyadzhiev

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arXiv · 2212.04907

Representations of functions in series with parameter

Khristo N. Boyadzhiev

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Abstract

We prove a short general theorem which immediately implies some classical results of Hasse, Guillera and Sondow, Paolo Amore, and also Alzer and Richards. At the end we obtain a new representation for the Euler constant gamma. The theorem transforms every Taylor series into a series depending on a parameter.

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Khristo N. Boyadzhiev. 2022-12-01. Representations of functions in series with parameter. https://arxiv.org/abs/2212.04907

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