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Classical Skew Orthogonal Polynomials and Random Matrices

✍ Scribed by M. Adler; P. J. Forrester; T. Nagao; P. van Moerbeke

Book ID
110373679
Publisher
Springer
Year
2000
Tongue
English
Weight
176 KB
Volume
99
Category
Article
ISSN
0022-4715

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πŸ“œ SIMILAR VOLUMES

Classical discrete orthogonal polynomial
Classical discrete orthogonal polynomials, Lah numbers, and involutory matrices
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This letter proposes two different approaches in order to solve the connection problems Pn(-X) = fi Cm(n) Pro(x), m=O when the family { Pn (x)} belongs to a wide class of polynomials, including classical discrete orthogonal polynomials. The first approach uses the involutory character of the Lah num

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Using the notion of quantum integers associated with a complex number q = 0, we define the quantum Hilbert matrix and various extensions. They are Hankel matrices corresponding to certain little q-Jacobi polynomials when |q| < 1, and for the special value q = (1- they are closely related to Hankel