Study of an example of Markov chains involving Chebyshev polynomials

DOI10.1080/10652469.2022.2098286OpenAlexW4285730299WikidataQ114099288 ScholiaQ114099288MaRDI QIDQ5885217

Atia, Mohamed Jalel, Unnamed Author

Publication date: 3 April 2023

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2022.2098286

zbMATH Keywords

kernelthree-term recurrence relationChebychev polynomialsquadratic transformation

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Cites Work

• The third and fourth kinds of Chebyshev polynomials and best uniform approximation
• On rational classical orthogonal polynomials and their application for explicit computation of inverse Laplace transforms
• Resultants and discriminants of Chebyshev and related polynomials
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