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Teoriya Veroyatnostei i ee Primeneniya, 2001, Volume 46, Issue 3, Pages 585–592
DOI: https://doi.org/10.4213/tvp3907 (Mi tvp3907) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Short Communications

Polynomials Orthogonal with Respect to the Multinomial Distribution and the Factorial-Power Formalism

V. I. Khokhlov

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (804 kB) Citations (8)
DOI: https://doi.org/10.4213/tvp3907
Abstract: A new combinatorial formalism is developed and applied to obtain new forms for Krawtchouk and Poisson–Charlier polynomials. These forms are used to obtain linear representations for pairwise products of such polynomials. As another application a family of polynomials orthogonal with respect to the multinomial distribution is established.
Keywords: binomial distribution, Poisson distribution, multinomial distribution, Krawtchouk polynomials, Poisson–Charlier polynomials, factorial-power polynomials, polynomials orthogonal with respect to multinomial distribution, combinatorial identities, Lerch identity.
Received: 01.08.2001
English version:
Theory of Probability and its Applications, 2002, Volume 46, Issue 3, Pages 529–536
DOI: https://doi.org/10.1137/S0040585X97979196
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Khokhlov, “Polynomials Orthogonal with Respect to the Multinomial Distribution and the Factorial-Power Formalism”, Teor. Veroyatnost. i Primenen., 46:3 (2001), 585–592; Theory Probab. Appl., 46:3 (2002), 529–536
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
\yr 2002
\vol 46
\issue 3
\pages 529--536
\crossref{https://doi.org/10.1137/S0040585X97979196}
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  • https://doi.org/10.4213/tvp3907
  • https://www.mathnet.ru/eng/tvp/v46/i3/p585
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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