正面
发表于 2025-3-26 21:21:47
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
发表于 2025-3-27 01:49:17
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
发表于 2025-3-27 06:38:22
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
发表于 2025-3-27 13:21:35
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Foolproof
发表于 2025-3-27 17:17:53
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
发表于 2025-3-27 20:38:27
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
murmur
发表于 2025-3-28 00:57:46
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NATTY
发表于 2025-3-28 04:04:09
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Vulnerary
发表于 2025-3-28 09:18:54
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
conquer
发表于 2025-3-28 13:56:00
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