On explicit probability densities associated with Fuss-Catalan numbers
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- by Dang-Zheng Liu, Chunwei Song and Zheng-Dong Wang PDF
- Proc. Amer. Math. Soc. 139 (2011), 3735-3738 Request permission
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.References
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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
- Received by editor(s): August 4, 2010
- Published electronically: May 24, 2011
- Communicated by: Jim Haglund
- © Copyright 2011 American Mathematical Society
- 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
- MathSciNet review: 2813403