An Ansatz for the asymptotics of hypergeometric multisums

DOI10.1016/j.aam.2008.02.002zbMath1170.34059arXiv0706.0722OpenAlexW2142237019MaRDI QIDQ950417

Stavros Garoufalidis

Publication date: 22 October 2008

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0722

zbMATH Keywords

Newton polytopesingular pointsasymptotic expansion\(G\)-functionbalanced termPicard-Fuchs differential equationterminating multiple hypergeometric series

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Asymptotic enumeration (05A16) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Asymptotics and summation methods for ordinary differential equations in the complex domain (34M30) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items

\(G\)-functions and multisum versus holonomic sequences

Uses Software

• qZeil

Cites Work

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