Positivity of rational functions and their diagonals

DOI10.1016/j.jat.2014.05.012zbMath1374.05023arXiv1312.3732OpenAlexW2010228859MaRDI QIDQ2343163

Armin Straub, Wadim Zudilin

Publication date: 4 May 2015

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3732

zbMATH Keywords

positivityrational functionhypergeometric functionmodular functionApéry-like sequencemultivariate asymptotics

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (5)

Numerical optimization and positivity certificates for polynomials and rationals over simplices ⋮ Diagonal asymptotics for symmetric rational functions via ACSV ⋮ New Representations for all Sporadic Apéry-Like Sequences, With Applications to Congruences ⋮ Positivity problem of three-term recurrence sequences ⋮ On the positivity of the Gillis-Reznick-Zeilberger rational function

Uses Software

• MultiZeilberger

Cites Work

• Unnamed Item
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