Partial fraction decompositions and trigonometric sum identities

DOI10.1090/S0002-9939-07-09085-5zbMath1141.42003OpenAlexW1980343067MaRDI QIDQ5429444

Chu, Wenchang

Publication date: 30 November 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-09085-5

zbMATH Keywords

trigonometric interpolationtrigonometric identitiestrigonometric partial fraction decomposition

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Numerical methods for trigonometric approximation and interpolation (65T40) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items

Summation formulae on trigonometric functions, A novel proof of two partial fraction decompositions, Unnamed Item, Partial Fractions and Riesz’ Interpolation Formula for Trigonometric Polynomials, Trigonometric identities: from Hermite via Meijer, Nørlund, and Braaksma to Chu and Johnson and beyond, Reduction formula of a double binomial sum

Cites Work

• Partial fractions and trigonometric identities
• Summations on trigonometric functions
• Explicit evaluations and reciprocity theorems for finite trigonometric sums
• Counting forests by descents and leaves
• Trigonometric identities and sums of separable functions
• Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$.
• Some q-Beta and Mellin-Barnes Integrals on Compact Lie Groups and Lie Algebras
• Unnamed Item
• Unnamed Item