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On Explicit Probability Densities Associated with Fuss-Catalan Numbers

Probability 2010-08-03 v1 Combinatorics

Abstract

In this note 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.

Cite

@article{arxiv.1008.0271,
  title  = {On Explicit Probability Densities Associated with Fuss-Catalan Numbers},
  author = {Dang-Zheng Liu and Chunwei Song and Zheng-Dong Wang},
  journal= {arXiv preprint arXiv:1008.0271},
  year   = {2010}
}

Comments

4 pages

R2 v1 2026-06-21T15:55:52.239Z