An Ansatz for the asymptotics of hypergeometric multisums
DOI10.1016/j.aam.2008.02.002zbMath1170.34059arXiv0706.0722OpenAlexW2142237019MaRDI QIDQ950417
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
Newton polytopesingular pointsasymptotic expansion\(G\)-functionbalanced termPicard-Fuchs differential equationterminating multiple hypergeometric series
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)
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