GENERALIZED RAYLEIGH AND JACOBI PROCESSES AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS-Reference-Cited by-同舟云学术

GENERALIZED RAYLEIGH AND JACOBI PROCESSES AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS

Published:2013-09-11 Issue:24 Volume:27 Page:1350135
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

CHOU C.-I.¹,HO C.-L.²³

Affiliation:

1. Department of Physics, Chinese Culture University, Taipei 111, Taiwan, R.O.C.

2. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

3. Department of Physics, Tamkang University, Tamsui 251, Taiwan, R.O.C.

Abstract

We present four types of infinitely many exactly solvable Fokker–Planck equations, which are related to the newly discovered exceptional orthogonal polynomials. They represent the deformed versions of the Rayleigh process and the Jacobi process.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021797921350135X

Reference56 articles.

1. Fokker-Planck Equation

2. Self‐consistent Fokker‐Planck Treatment of Particle Distributions in Astrophysical Plasmas

3. Astrophysical Gyrokinetics: Basic Equations and Linear Theory

4. Solution of the Fokker-Planck equation for reactive Rayleigh gas

5. Reaction rate kernel for dichotomous noise-induced transitions in bistable systems

Cited by 7 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Convergence Rates of Exceptional Zeros of Exceptional Orthogonal Polynomials;Computational Methods and Function Theory;2022-08-08

2. Time-dependent Darboux transformation and supersymmetric hierarchy of Fokker-Planck equations;CHINESE J PHYS;2022

3. Time-dependent Darboux transformation and supersymmetric hierarchy of Fokker–Planck equations;Chinese Journal of Physics;2022-06

4. A Bochner type characterization theorem for exceptional orthogonal polynomials;Journal of Mathematical Analysis and Applications;2019-04

5. Algebraic calculations for spectrum of superintegrable system from exceptional orthogonal polynomials;Annals of Physics;2018-04