Convergent expansions for two common trigonometric sums

DOI10.1006/JMAA.1997.5249zbMath0912.42004OpenAlexW2055835235MaRDI QIDQ1353739

Nathaniel Grossmann

Publication date: 2 May 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5249

zbMATH Keywords

trigonometric sumLerch transcendentMellin's inversion formula

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Trigonometric and exponential sums (general theory) (11L03) Summability and absolute summability of Fourier and trigonometric series (42A24) Trigonometric polynomials, inequalities, extremal problems (42A05) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Cites Work

• On a function which occurs in the theory of the structure of polymers
• [https://portal.mardi4nfdi.de/wiki/Publication:3493061 Plana's Summation Formula for ∑ ∞ m = 1,3, � m -2 sin(m α), m -3 cos(mα), m -2 A m , m -3 A m]
• On the Numerical Evaluation of Legendre's Chi-Function
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