能量守恒 发表于 2025-3-25 06:26:04

Manuel Rudolph,Svenja Polst,Joerg DoerrIn the approximate calculation of definite integrals and of sums of a large number of terms, numerical analysis makes extensive use of quadrature formulas of Gaussian type, which depend on properties of orthogonal polynomials.

间谍活动 发表于 2025-3-25 08:01:37

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爱管闲事 发表于 2025-3-25 13:29:33

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diskitis 发表于 2025-3-25 16:13:17

Classical Orthogonal Polynomials of a Discrete Variableelations of a more general form, which can be expressed in terms of Stielties integrals . where .(.) is a monotonic nondecreasing function (usually called the distribution function). The orthogonality relation (2.0.2) is reduced to (2.0.1) in the case when the function .(.) has a derivative on (a, .

高兴一回 发表于 2025-3-25 21:39:20

Classical Orthogonal Polynomials of a Discrete Variable on Nonuniform Lattices equation . which approximates (3.1.1) on a lattice of constant mesh . = .. After a change of independent variable, . = .(.) we can obtain a further generalization to the case when (3.1.1) is replaced by a difference equation on a class of lattices with variable mesh . = .(. + .) - .(.): . Equation

Intervention 发表于 2025-3-26 02:29:26

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Infusion 发表于 2025-3-26 07:43:53

Hyperspherical HarmonicsAn important class of special functions which naturally occur in this work is constituted by .. In quantum mechanis these functions are used to construct basis functions in the .-harmonic method and in the translation-invariant model of shells thus enabling one to compute the fundamental physical ch

innate 发表于 2025-3-26 09:48:06

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Truculent 发表于 2025-3-26 12:49:02

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fleeting 发表于 2025-3-26 20:40:49

Bernadette O’Rourke,Sara C. Brennandringlich, um eine Kontinuität der wissenschaftsimmanenten Bestände aufzudecken und künftig zu vermeiden. Es sollten daher stärker die institutionellen Strukturen, die theoretischen Voraussetzungen und die methodologischen Instrumente in die fachhistorische Forschung einbezogen werden.
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查看完整版本: Titlebook: Classical Orthogonal Polynomials of a Discrete Variable; Arnold F. Nikiforov,Vasilii B. Uvarov,Sergei K. Su Textbook 1991 Springer-Verlag