Series extension: predicting approximate series coefficients from a finite number of exact coefficients

DOI10.1088/1751-8113/49/41/415002zbMath1354.65009arXiv1604.08254OpenAlexW2343438888MaRDI QIDQ2832458

Anthony J. Guttmann

Publication date: 11 November 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08254

zbMATH Keywords

numerical examplesgenerating functionstatistical mechanicsenumerative combinatoricscoefficient approximationratio methoddifferential approximantsseries analysis

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Convergence and divergence of series and sequences (40A05) Classical equilibrium statistical mechanics (general) (82B05) Numerical summation of series (65B10)

Related Items (15)

Permutations sortable by two stacks in series ⋮ Classical length-5 pattern-avoiding permutations ⋮ 1324-avoiding permutations revisited ⋮ The gerrymander sequence, or A348456 ⋮ Improved model for mixtures of polymers and hard spheres ⋮ On a square-ice analogue of plane partitions ⋮ Exact enumeration of self-avoiding walks on BCC and FCC lattices ⋮ Counting planar Eulerian orientations ⋮ Numerical studies of Thompson’s group F and related groups ⋮ Asymptotics of 3-stack-sortable permutations ⋮ Pattern-avoiding ascent sequences of length 3 ⋮ The analytic structure of the fixed charge expansion ⋮ Synergistic development of differential approximants and the finite lattice method in lattice statistics ⋮ Self-avoiding walks contained within a square ⋮ Self-avoiding walks and polygons crossing a domain on the square and hexagonal lattices

This page was built for publication: Series extension: predicting approximate series coefficients from a finite number of exact coefficients