Analytic Continuation of Generalized Trigonometric Functions
arXiv:2106.15109 · doi:10.1090/bproc/119
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.