The Wallis Products for Fermat Curves-Reference-Cited by-同舟云学术

The Wallis Products for Fermat Curves

Published:2023-05-10 Issue: Volume: Page:
ISSN:2305-221X
Container-title:Vietnam Journal of Mathematics
language:en
Short-container-title:Vietnam J. Math.

Author:

Gambini Alessandro,Nicoletti Giorgio,Ritelli Daniele^ORCID

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.

Funder

Alma Mater Studiorum - Università di Bologna

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s10013-023-00617-3.pdf

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