Secant and cosecant sums and Bernoulli-Nörlund polynomials

DOI10.2989/16073600709486191zbMath1221.11169OpenAlexW2124126244MaRDI QIDQ5426705

Prodinger, Helmut, Peter J. Grabner

Publication date: 13 November 2007

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073600709486191

zbMATH Keywords

exact formulaeBernoulli-Nörlund polynomialscosecant sumsSecant sums

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Bernoulli and Euler numbers and polynomials (11B68) Trigonometric and exponential sums (general theory) (11L03)

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Inequalities for finite trigonometric sums. An interplay: with some series related to harmonic numbers ⋮ Human and automated approaches for finite trigonometric sums ⋮ Trigonometric sums and Riemann zeta function ⋮ Dedekind and Hardy Type Sums and Trigonometric Sums Induced by Quadrature Formulas ⋮ Generalized cosecant numbers and trigonometric inverse power sums ⋮ Reciprocal relations for trigonometric sums ⋮ General order Euler sums with multiple argument ⋮ The trace method for cotangent sums ⋮ Explicit expressions for finite trigonometric sums

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