GENERATING FUNCTIONS OF CAUCHY–STIELTJES TYPE FOR ORTHOGONAL POLYNOMIALS

Marek Bożejko, Nizar Demni

Type: Article

Publication Date: 2009-03-01

Citations: 13

DOI: https://doi.org/10.1142/s0219025709003586

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Locations

Infinite Dimensional Analysis Quantum Probability and Related Topics - View
arXiv (Cornell University) - View

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Works That Cite This (13)

Action	Title	Year	Authors
+	Ultraspherical type generating functions for orthogonal polynomials	2008	Nizar Demni
+	On generalized Cauchy-Stieltjes transforms of some Beta distributions	2009	Nizar Demni
+	Topics on Meixner families	2010	Marek Bożejko Nizar Demni
+	Topics on Meixner families	2008	Marek Bożejko Nizar Demni
+ PDF Chat	Meixner Class of Non-commutative Generalized Stochastic Processes with Freely Independent Values II. The Generating Function	2010	Marek Bożejko Eugene Lytvynov
+ PDF Chat	Contributions to High–Dimensional Analysis under Kolmogorov Condition	2015	Jolanta Pielaszkiewicz
+	THE BRENKE TYPE GENERATING FUNCTIONS AND EXPLICIT FORMS OF MRM-TRIPLES BY MEANS OF Q-HYPERGEOMETRIC SERIES	2013	Nobuhiro Asai Izumi Kubo Hui-Hsiung Kuo
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+	Characterization of quadratic Cauchy–Stieltjes kernel families based on the orthogonality of polynomials	2017	Raouf Fakhfakh
+	One-mode interacting Fock spaces and random walks on graphs	2011	Nobuaki Obata

Works Cited by This (23)

Action	Title	Year	Authors
+	A generalization of ultraspherical polynomials	1983	Richard Askey Mourad E. H. Ismail
+ PDF Chat	Convolution and limit theorems for conditionally free random variables	1996	Marek Bożejko Michael Leinert Roland Speicher
+ PDF Chat	MULTIPLICATIVE RENORMALIZATION AND GENERATING FUNCTIONS II	2004	Nobuhiro Asai Izumi Kubo Hui-Hsiung Kuo
+	Quantum Probability and Spectral Analysis of Graphs	2007	Akihito Hora 伸明尾畑
+	Ultraspherical type generating functions for orthogonal polynomials	2008	Nizar Demni
+	INTERPOLATION OF CHEBYSHEV POLYNOMIALS AND INTERACTING FOCK SPACES	2006	Izumi Kubo Hui-Hsiung Kuo Suat Namli
+ PDF Chat	Interacting Fock Spaces and Gaussianization of Probability Measures	1998	Luigi Accardi Marek Bożejko
+ PDF Chat	On a class of free Lévy laws related to a regression problem	2006	Marek Bożejko Włodzimierz Bryc
+	Symmetric random walks on groups	1959	Harry Kesten
+ PDF Chat	Lévy-Hinčin type theorems for multiplicative and additive free convolution	1992	Hari Bercovici Dan-Virgil Voiculescu