Ultraspherical type generating functions for orthogonal polynomials

• Autorzy: Demni N.
• Języki publikacji: EN

Abstrakty

EN

We characterize, under some technical assumptions and up to a conjecture, probability distributions of finite all order moments with ultraspherical type generating functions for orthogonal polynomials. Our method is based on differential equations and the obtained measures are particular beta distributions. We actually recover the free Meixner family of probability distributions so that our method gives a new approach to the characterization of free Meixner distributions.

Słowa kluczowe

EN

generating functions; ultraspherical type; orthogonal polynomials; Jacobi–Szegö parameters

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2009
• Tom: Vol. 29, Fasc. 2
• Strony: 281--296
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Demni N.

• Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany

Bibliografia

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