Analytic continuation of generalized trigonometric functions

Ding, Pisheng

doi:10.1090/bproc/119

Analytic continuation of generalized trigonometric functions
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by Pisheng Ding HTML | PDF

Proc. Amer. Math. Soc. Ser. B 9 (2022), 41-49

Abstract:

Via a unified geometric approach, certain 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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