On explicit probability densities associated with Fuss-Catalan numbers
Authors:
Dang-Zheng Liu, Chunwei Song and Zheng-Dong Wang
Journal:
Proc. Amer. Math. Soc. 139 (2011), 3735-3738
MSC (2010):
Primary 60B20, 46L54; Secondary 05A99
DOI:
https://doi.org/10.1090/S0002-9939-2011-11015-3
Published electronically:
May 24, 2011
MathSciNet review:
2813403
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we give explicitly a family of probability densities, the moments of which are Fuss-Catalan numbers. The densities appear naturally in random matrices, free probability and other contexts.
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Additional Information
Dang-Zheng Liu
Affiliation:
School of Mathematical Sciences, LMAM, Peking University, Beijing, 100871, People’s Republic of China
Address at time of publication:
Instituto Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile
Email:
dzliu@inst-mat.utalca.cl
Chunwei Song
Affiliation:
School of Mathematical Sciences, LMAM, Peking University, Beijing, 100871, People’s Republic of China
MR Author ID:
771186
Email:
csong@math.pku.edu.cn
Zheng-Dong Wang
Affiliation:
School of Mathematical Sciences, LMAM, Peking University, Beijing, 100871, People’s Republic of China
Email:
zdwang@pku.edu.cn
Keywords:
Fuss-Catalan numbers,
moments,
free Bessel laws
Received by editor(s):
August 4, 2010
Published electronically:
May 24, 2011
Communicated by:
Jim Haglund
Article copyright:
© Copyright 2011
American Mathematical Society
