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Partial Fractions and Trigonometric Identities

✍ Scribed by Wenchang Chu; Alberto Marini

Book ID
102558728
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
309 KB
Volume
23
Category
Article
ISSN
0196-8858

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✦ Synopsis

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.

πŸ“œ SIMILAR VOLUMES

Remarkable matrices and trigonometric id
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✍ F. Calogero πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 191 KB

Two (n x n)-matrices are exhibited, which have a simple expression in terms of trigonometric functions of n arbitrary angles and possess remarkably neat spectral properties, such as integral eigenvalues. Several related trigonometric identities are also exhibited.