Power series in computer algebra

DOI10.1016/S0747-7171(10)80012-4zbMath0758.30026OpenAlexW2023383647MaRDI QIDQ1198232

Wolfram Koepf

Publication date: 16 January 1993

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

Full work available at URL: https://doi.org/10.1016/s0747-7171(10)80012-4

zbMATH Keywords

computer algebra systemsTaylor expansionLaurent expansionpolemeromorphichomogeneous differential equationlinear recursion formula

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Power series (including lacunary series) in one complex variable (30B10) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (13)

Bieberbach's conjecture, the de Branges and Weinstein functions and the Askey-Gasper inequality ⋮ Duplication coefficients via generating functions ⋮ Symbolic conversion of holonomic functions to hypergeometric type power series ⋮ Symbolic computation of some power-trigonometric series ⋮ Closed form Laurent-Puiseux series of algebraic functions ⋮ A symbolic algorithm for exact power series solutions of \(n\)th order linear homogeneous differential equations with polynomial coefficients near an ordinary point ⋮ Algorithmic determination of \(q\)-power series for \(q\)-holonomic functions ⋮ An algorithmic approach to exact power series solutions of second order linear homogeneous differential equations with polynomial coefficients ⋮ Computer Algebra, Power Series and Summation ⋮ Some applications of a hypergeometric identity ⋮ A new symbolic computation for formal integration with exact power series ⋮ Integral Representation and Algorithms for Closed Form Summation ⋮ Algorithmic approach for formal Fourier series

Uses Software

• Maple
• Mathematica
• MACSYMA

Cites Work

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