70+ years of the Watson integrals

DOI10.1007/s10955-011-0273-0zbMath1231.82026OpenAlexW2166499432MaRDI QIDQ658450

I. J. Zucker

Publication date: 12 January 2012

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-011-0273-0

zbMATH Keywords

error estimateMinkowski sumconvolution curveoffsetslinear normal mapcubic LN curveG-1 Bezier approximation

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) History of mathematics in the 20th century (01A60) History of mathematics in the 21st century (01A61) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Other functions defined by series and integrals (33E20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05) Elliptic integrals as hypergeometric functions (33C75) History of special functions (33-03)

Related Items (16)

Integrals of \(K\) and \(E\) from lattice sums ⋮ Statistical properties of sites visited by independent random walks ⋮ Asymptotics of dynamic lattice Green's functions ⋮ Kontsevich-Zagier integrals for automorphic Green's functions. I ⋮ Smoluchowski rate for diffusion-controlled reactions of molecules with antenna ⋮ Invariant subspaces and eigenvalues of the three-particle discrete Schrödinger operators ⋮ Two-particle bound states on a lattice ⋮ Voter model under stochastic resetting ⋮ On the existence of eigenvalues of the three-particle discrete Schrödinger operator ⋮ Lattice Green’s Functions for High-Order Finite Difference Stencils ⋮ No-neighbours recurrence schemes for space-time Green’s functions on a 3D simple cubic lattice ⋮ Legendre functions, spherical rotations, and multiple elliptic integrals ⋮ Unnamed Item ⋮ On Laporta's 4-loop sunrise formulae ⋮ Hypergeometric expression for the resolvent of the discrete Laplacian in low dimensions ⋮ Stationary determinantal processes on \({\mathbb{Z}}^d\) with \(N\) labeled objects per site. I: Basic properties and full domination

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