Partial fractions and trigonometric identities

DOI10.1006/aama.1998.0635zbMath0944.33001OpenAlexW2027274761MaRDI QIDQ1296515

Alberto Marini, Chu, Wenchang

Publication date: 18 September 2000

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4fca402a1a5e371b43ed7356b51c8cb3dce4fe1b

zbMATH Keywords

binomial identitiestrigonometric summations

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Binomial coefficients; factorials; (q)-identities (11B65) Exponential and trigonometric functions (33B10)

Related Items (30)

A few finite trigonometric sums ⋮ Weighted trigonometric sums over a half-period ⋮ FINITE TRIGONOMETRIC CHARACTER SUMS VIA DISCRETE FOURIER ANALYSIS ⋮ Summation formulae on trigonometric functions ⋮ Unnamed Item ⋮ A novel proof of two partial fraction decompositions ⋮ Partial Fractions and Riesz’ Interpolation Formula for Trigonometric Polynomials ⋮ An Elementary Derivation of Finite Cotangent Sums ⋮ Human and automated approaches for finite trigonometric sums ⋮ Exact evaluations and reciprocity theorems for finite trigonometric sums ⋮ Further developments of basic trigonometric power sums ⋮ Identities for combinatorial sums involving trigonometric functions ⋮ Trigonometric sums and Riemann zeta function ⋮ Reciprocity laws for Dedekind cotangent sums ⋮ Spectral zeta functions of graphs and the Riemann zeta function in the critical strip ⋮ On the corner contributions to the heat coefficients of geodesic polygons ⋮ Summation formulae for finite tangent and secant sums ⋮ Generalized cosecant numbers and trigonometric inverse power sums ⋮ Reciprocal relations for trigonometric sums ⋮ General order Euler sums with multiple argument ⋮ Basic trigonometric power sums with applications ⋮ The trace method for cotangent sums ⋮ Partial fraction decompositions and trigonometric sum identities ⋮ Rational functions, cotangent sums and Eichler integrals ⋮ Explicit expressions for finite trigonometric sums ⋮ Summation formulae for finite cotangent sums ⋮ Two general families of integer-valued polynomials associated with finite trigonometric sums ⋮ Trigonometric sums by Hermite interpolations ⋮ On an approach for evaluating certain trigonometric character sums using the discrete time heat kernel ⋮ Explicit evaluations and reciprocity theorems for finite trigonometric sums

This page was built for publication: Partial fractions and trigonometric identities