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arXiv · 2312.13525

Formal sine functions in harmonic algebra

Hanamichi Kawamura
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Abstract

In this paper, we introduce formal sine functions whose coefficients are elements of a generalized harmonic algebra and investigate their properties corresponding to the classical addition formula and Pythagorean theorem. By taking their image under a linear map with some conditions, they coincide with the classical sine function. Moreover, we show that one such linear map is obtained from iterated integrals.

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Hanamichi Kawamura. 2023-12-21. Formal sine functions in harmonic algebra. https://arxiv.org/abs/2312.13525

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