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arXiv · 2106.15109

Analytic Continuation of Generalized Trigonometric Functions

Pisheng Ding
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Abstract

Via a unified geometric approach, a class of generalized trigonometric functions with two parameters are analytically extended to maximal domains on which they are univalent. Some consequences are deduced concerning radius of convergence for the Maclaurin series, commutation with rotation, continuation beyond the domain of univalence, and periodicity.

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Pisheng Ding. 2021-06-29. Analytic Continuation of Generalized Trigonometric Functions. https://doi.org/10.1090/bproc%2F119

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