Summations on trigonometric functions

DOI10.1016/S0096-3003(02)00330-2zbMath1030.65142MaRDI QIDQ1408306

Chu, Wenchang

Publication date: 15 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

hypergeometric seriesformal power seriestrigonometric sumsbinomial convolutionVandermonde convolutionpartial-fraction expansionMaple V-programsummations of trigonometric functions

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical methods for trigonometric approximation and interpolation (65T40) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items (14)

Summation of a family of finite secant sums ⋮ Unnamed Item ⋮ Summation formulae on trigonometric functions ⋮ 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 ⋮ Summation formulae for finite tangent and secant sums ⋮ Generalized cosecant numbers and trigonometric inverse power sums ⋮ Reciprocal relations for trigonometric sums ⋮ Basic trigonometric power sums with applications ⋮ Closed-form summation of two families of finite tangent sums ⋮ Partial fraction decompositions and trigonometric sum identities ⋮ Summation formulae for finite cotangent sums

Uses Software

• Maple

Cites Work

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