Can I read Formal Sine Functions in Harmonic Algebra on EtoBox?

Formal Sine Functions in Harmonic Algebra by Kawamura, Hanamichi is a scholarly article available to read on EtoBox.

What is Formal Sine Functions in Harmonic Algebra about?

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.

Author

Kawamura, Hanamichi

Published

2023

Language

EN