Analytic continuation of generalized trigonometric functions-Reference-Cited by-同舟云学术

Analytic continuation of generalized trigonometric functions

Published:2022-02-11 Issue:5 Volume:9 Page:41-49
ISSN:2330-1511
Container-title:Proceedings of the American Mathematical Society, Series B
language:en
Short-container-title:Proc. Amer. Math. Soc. Ser. B

Author:

Ding Pisheng

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.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology,Discrete Mathematics and Combinatorics,Analysis,Algebra and Number Theory

Link

https://www.ams.org/bproc/2022-09-05/S2330-1511-2022-00119-6/S2330-1511-2022-00119-6.pdf

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