Holonomic Tools for Basic Hypergeometric Functions

DOI10.1142/9789813228887_0020zbMath1411.33019arXiv1602.00454OpenAlexW2262490577MaRDI QIDQ5377725

Christoph Koutschan, Paule, Peter

Publication date: 27 May 2019

Published in: Frontiers in Orthogonal Polynomials and q-Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00454

zbMATH Keywords

basic hypergeometric functionholonomic functioncreative telescopingsymbolic summation\(q\)-holonomic recurrence

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Uses Software

• Mgfun
• HolonomicFunctions

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