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Analytic Continuation of Generalized Trigonometric Functions
[Submitted on 29 Jun 2021 (v1), last revised 22 May 2026 (this v · 2026-05-25 · via math updates on arXiv.org

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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.

Submission history

From: Pisheng Ding [view email]
[v1] Tue, 29 Jun 2021 06:13:24 UTC (8 KB)
[v2] Wed, 8 Dec 2021 17:00:24 UTC (9 KB)
[v3] Thu, 13 Jan 2022 04:58:44 UTC (9 KB)
[v4] Fri, 22 May 2026 17:57:16 UTC (9 KB)