On polynomial solutions to Fokker–Planck and sinked density evolution equations

DOI10.1088/1751-8113/48/13/135202zbMath1317.35261arXiv1407.6434OpenAlexW2009535525WikidataQ58164493 ScholiaQ58164493MaRDI QIDQ5246131

Mathew L. Zuparic

Publication date: 17 April 2015

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

Full work available at URL: https://arxiv.org/abs/1407.6434

zbMATH Keywords

Fokker-Planck equationhypergeometric functiondensity functionclassical orthogonal polynomialBertalanffy-Richards-Langevin equation

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Fokker-Planck equations (35Q84)

Related Items (4)

Scalar products of the elliptic Felderhof model and elliptic Cauchy formula ⋮ Dynamical properties of generalized traveling waves of exactly solvable forced Burgers equations with variable coefficients ⋮ Analytic solution to space-fractional Fokker–Planck equations for tempered-stable Lévy distributions with spatially linear, time-dependent drift ⋮ Green's functions and the Cauchy problem of the Burgers hierarchy and forced Burgers equation

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