Remarks on trigonometric functions after Eisenstein
P. L. Robinson
TL;DR
This paper revises the classical Eisenstein approach to trigonometric functions by developing a new foundation based on the Eisenstein function , offering a fresh perspective on their properties.
Contribution
It introduces a novel formulation of trigonometric functions grounded in the Eisenstein function , extending the traditional Eisenstein approach.
Findings
New formulation of trigonometric functions based on Eisenstein functions
Modified Whittaker-Watson account for Eisenstein approach
Enhanced understanding of the relationship between Eisenstein functions and trigonometry
Abstract
We modify the Whittaker-Watson account of the Eisenstein approach to the trigonometric functions, basing these functions independently on the Eisenstein function .
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Mathematical Identities · Mathematical functions and polynomials