On the 2-orthogonal polynomials and the generalized birth and death processes.

Ebtissem, Zerouki; Ammar, Boukhemis

Displaying similar documents to “On the 2-orthogonal polynomials and the generalized birth and death processes.”

Linearization relations for the generalized Bedient polynomials of the first and second kinds via their integral representations

Shy-Der Lin, Shuoh-Jung Liu, Han-Chun Lu, Hari Mohan Srivastava (2013)

Czechoslovak Mathematical Journal

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The main object of this paper is to investigate several general families of hypergeometric polynomials and their associated multiple integral representations. By suitably specializing our main results, the corresponding integral representations are deduced for such familiar classes of hypergeometric polynomials as (for example) the generalized Bedient polynomials of the first and second kinds. Each of the integral representations, which are derived in this paper, may be viewed also as...

Eigenvalues of GUE minors.

Johansson, Kurt, Nordenstam, Eric (2006)

Electronic Journal of Probability [electronic only]

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Partition-dependent stochastic measures and $q$ -deformed cumulants.

Anshelevich, Michael (2001)

Documenta Mathematica

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A simple interpretation of two stochastic processes subject to an independent death process.

Gani, Joseph, Swift, Randall J. (2009)

Applied Mathematics E-Notes [electronic only]

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Birth and death processes with absorption.

Ismail, Mourad E.H., Letessier, Jean, Valent, Galliano (1992)

International Journal of Mathematics and Mathematical Sciences

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Orthogonal polynomials represented by CW-spheres.

Hetyei, Gábor (2004)

The Electronic Journal of Combinatorics [electronic only]

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A derivation of Kohnert's algorithm from Monk's rule.

Winkel, Rudolf (2002)

Séminaire Lotharingien de Combinatoire [electronic only]

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The combinatorics of the Al-Salam-Chihara $q$ -Charlier polynomials.

Kim, Dongsu, Stanton, Dennis, Zeng, Jiang (2005)

Séminaire Lotharingien de Combinatoire [electronic only]

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Weakly stationary processes with non–positive autocorrelations

Šárka Došlá, Jiří Anděl (2010)

Kybernetika

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We deal with real weakly stationary processes ${X_{t}, t \in ℤ}$ with non-positive autocorrelations ${r_{k}}$ , i. e. it is assumed that $r_{k} \leq 0$ for all $k = 1, 2, \dots$ . We show that such processes have some special interesting properties. In particular, it is shown that each such a process can be represented as a linear process. Sufficient conditions under which the resulting process satisfies $r_{k} \leq 0$ for all $k = 1, 2, \dots$ are provided as well.

Restricted partitions and q-Pell numbers

Toufik Mansour, Mark Shattuck (2011)

Open Mathematics

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In this paper, we provide new combinatorial interpretations for the Pell numbers p n in terms of finite set partitions. In particular, we identify six classes of partitions of size n, each avoiding a set of three classical patterns of length four, all of which have cardinality given by p n. By restricting the statistic recording the number of inversions to one of these classes, and taking it jointly with the statistic recording the number of blocks, we obtain a new polynomial generalization...