Densities of the Raney distributions
From MaRDI portal
Publication:2439223
zbMath1291.44016arXiv1211.7259MaRDI QIDQ2439223
Karol Życzkowski, Wojciech Młotkowski, Karol A. Penson
Publication date: 13 March 2014
Published in: Documenta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.7259
moment problemfree convolutiongeneralized hypergeometric functionMeijer G-functionMellin convolutionMarchenko-Pastur distributionRaney numbersWigner's semicircle distribution
Characteristic functions; other transforms (60E10) Moment problems (44A60) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60)
Related Items (26)
Asymptotics for characteristic polynomials of Wishart type products of complex Gaussian and truncated unitary random matrices ⋮ The Raney numbers and \((s,s+1)\)-core partitions ⋮ On the Laplace transform of the Fréchet distribution ⋮ Some properties of the free stable distributions ⋮ Singular values distribution of squares of elliptic random matrices and type B Narayana polynomials ⋮ On powers of the Catalan number sequence ⋮ On directed lattice paths with vertical steps ⋮ Cauchy–Stieltjes families with polynomial variance functions and generalized orthogonality ⋮ Traces on diagram algebras I: Free partition quantum groups, random lattice paths and random walks on trees ⋮ Stieltjes moment sequences for pattern-avoiding permutations ⋮ Moment problems related to Bernstein functions ⋮ Unnamed Item ⋮ Enumerations of plane trees with multiple edges and Raney lattice paths ⋮ Some relatives of the Catalan sequence ⋮ A Fuss-type family of positive definite sequences ⋮ Free self-decomposability and unimodality of the Fuss-Catalan distributions ⋮ Relating the Bures measure to the Cauchy two-matrix model ⋮ Bijections on \(r\)-Shi and \(r\)-Catalan arrangements ⋮ Logarithmically complete monotonicity of a function related to the Catalan-Qi function ⋮ Catalan and Motzkin integral representations ⋮ Logarithmically complete monotonicity of Catalan-Qi function related to Catalan numbers ⋮ On generating functions of Hausdorff moment sequences ⋮ Hankel-total positivity of some sequences ⋮ Some properties of the Fuss-Catalan numbers ⋮ Raney distributions and random matrix theory ⋮ Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials
Uses Software
This page was built for publication: Densities of the Raney distributions