Asymptotics of sums of hypergeometric terms

DOI10.1007/s11086-005-0015-7zbMath1102.41029OpenAlexW2063109925MaRDI QIDQ2508521

Yanyan Li

Publication date: 13 October 2006

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11086-005-0015-7

zbMATH Keywords

asymptotic expansionscomputer algebrahypergeometric sums

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Classical hypergeometric functions, ({}_2F_1) (33C05) Numerical approximation and evaluation of special functions (33F05) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Uses Software

• Maple

Cites Work

• Massive Feynman diagrams and inverse binomial sums
• Resurrecting the asymptotics of linear recurrences
• General hypergeometric systems of equations and series of hypergeometric type
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