Partial Fractions and Trigonometric Identities

Author: Chu W.   Marini A.  

Publisher: Academic Press

ISSN: 0196-8858

Source: Advances in Applied Mathematics, Vol.23, Iss.2, 1999-08, pp. : 115-175

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Abstract

Trigonometric summations over the angles equally divided on the upper half plane are investigated systematically. Their generating functions are established by expansions of trigonometric polynomials in partial fractions. The explicit formulas are displayed and their proofs are presented in brief through the formal power series method.