Titlebook: Classical Orthogonal Polynomials of a Discrete Variable; Arnold F. Nikiforov,Vasilii B. Uvarov,Sergei K. Su Textbook 1991 Springer-Verlag

能量守恒

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.

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愛管閑事

diskitis

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, .

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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

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Infusion

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

Truculent

fleeting

Bernadette O’Rourke,Sara C. Brennandringlich, um eine Kontinuit?t der wissenschaftsimmanenten Best?nde aufzudecken und künftig zu vermeiden. Es sollten daher st?rker die institutionellen Strukturen, die theoretischen Voraussetzungen und die methodologischen Instrumente in die fachhistorische Forschung einbezogen werden.