Symbolic computation of some power-trigonometric series

DOI10.1016/J.JSC.2016.03.004zbMath1356.33013OpenAlexW2331142220MaRDI QIDQ346541

Wolfram Koepf, Mohammad Masjed-Jamei

Publication date: 29 November 2016

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jsc.2016.03.004

zbMATH Keywords

power seriestrigonometric seriesconvergence radiusbivariate series of power-trigonometric type

Mathematics Subject Classification ID

Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10) Exponential and trigonometric functions (33B10)

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Uses Software

• SumTools

Cites Work

• Power series in computer algebra
• Algorithms for \(m\)-fold hypergeometric summation
• An Identity for Simplifying Certain Generalized Hypergeometric Function
• Biorthogonal exponential sequences with weight function $\exp(ax^2+ibx)$ on the real line and an orthogonal sequence of trigonometric functions
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