Probability functions of discrete probability distributions as solutions of the Pearson difference equation for the discrete classical orthogonal polynomials

DOI10.1007/BF01540777zbMath0546.33012OpenAlexW2321964172MaRDI QIDQ798486

N. E. Zubov

Publication date: 1984

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178205

zbMATH Keywords

Poisson distributionMeixner polynomialsKrawtchouk polynomialsRodrigues formulasdiscrete probability distributionsCharlier polynomialsHahn polynomialsPólya distributiondiscrete classical orthogonal polynomialsPearson difference equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Additive difference equations (39A10)

Related Items

Infinite and finite orthogonal systems of continuous Hahn polynomials, Kravchuk orthogonal polynomials, A new class of discrete distributions with complex parameters

Cites Work

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