Titlebook: Orthogonal Polynomials; 2nd AIMS-Volkswagen Mama Foupouagnigni,Wolfram Koepf Conference proceedings 2020 Springer Nature Switzerland AG 20

正面

On the Solutions of Holonomic Third-Order Linear Irreducible Differential Equations in Terms of Hyperd-order linear differential operator L, with rational function coefficients and without Liouvillian solutions, in terms of functions . where .. with . ∈{0, 1, 2}, . ∈{1, 2}, is the generalized hypergeometric function. That means we find rational functions ., .., .., .., . such that the solution of

Hdl348

Hypergeometric Multivariate Orthogonal Polynomials orthogonal polynomials, including classical continuous, classical discrete, their .-analogues and also classical orthogonal polynomials on nonuniform lattices. In all these cases, the orthogonal polynomials are solution of a second-order differential, difference, .-difference, or divided-difference

褪色

Some Characterization Problems Related to Sheffer Polynomial Setsonal polynomial sets of Sheffer type. We revisit some families in the literature and we state an explicit formula giving the exact number of Sheffer type .-orthogonal sets. We investigate, in detail, the (. + 1)-fold symmetric case as well as the particular cases . = 1, 2, 3.

详细目录

Foolproof

Two Variable Orthogonal Polynomials and Fejér-Riesz Factorizationnal polynomials is reviewed with an eye toward applying it to the bivariate case. The lexicographical and reverse lexicographical orderings are used to order the monomials for the Gram–Schmidt procedues and recurrence formulas are derived between the polynomials of different degrees. These formulas

休闲

Exceptional Orthogonal Polynomials and Rational Solutions to Painlevé Equations summarize the basic results and construction of exceptional poynomials, developed over the past 10 years. In addition, some new results are presented on the construction of rational solutions to Painlevé equation P. and its higher order generalizations that belong to the .-Painlevé hierarchy. The c

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NATTY

Vulnerary

Conference proceedings 2020m other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to multivariate orthogonal polynomials, from multiple orthogonal polynomials and random matrices to orthogonal polynomials and Painlevé equations..The contributions are bas

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