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arXiv · 1610.04750

On generalized trigonometric functions and series of rational functions

Han Yu
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Abstract

Here we introduce a way to construct generalized trigonometric functions associated with any complex polynomials, and the well known trigonometric functions can be seen to associate with polynomial $x^2-1$. We will show that those generalized trigonometric functions have algebraic identities which generalizes the well known $\sin^2(x)+\cos^2(x)=1$. One application of the generalized trigonometric functions is evaluating infinite series of rational functions.

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Han Yu. 2016-10-15. On generalized trigonometric functions and series of rational functions. https://arxiv.org/abs/1610.04750

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