$q$-Pearson pair and moments in $q$-deformed ensembles
DOI10.1007/S11139-022-00639-4zbMath1528.33023arXiv2110.13420MaRDI QIDQ6381278
Guo-Fu Yu, Peter J. Forrester, Bo-Jian Shen, Shi-Hao Li
Publication date: 26 October 2021
Random matrices (probabilistic aspects) (60B20) (q)-calculus and related topics (05A30) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Laplace transform (44A10) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Other functions defined by series and integrals (33E20) Random matrices (algebraic aspects) (15B52) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13) (q)-gamma functions, (q)-beta functions and integrals (33D05)
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