Abstract
AbstractAfter revisiting the properties of generalized trigonometric functions, i.e., the trigonometric function linked to the planar (Fermat) curve $$x^p+y^p=1$$ x p + y p = 1 , using the tool of Keplerian trigonometry, introduced in (Gambini et al.: Monatsh. Math. 195, 55–72, 2021), we present the extension to this class of functions of the Wallis product, discovering connections with the representations of ordinary trigonometric functions by means of infinite products.
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