- associated Legendre functions
- Макаров: присоединённые функции Лежандра
Универсальный англо-русский словарь. Академик.ру. 2011.
associated Legendre functions
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Associated Legendre function — Note: This article describes a very general class of functions. An important subclass of these functions mdash;those with integer ell and m mdash;are commonly called associated Legendre polynomials , even though they are not polynomials when m is … Wikipedia
Legendre polynomials — Note: People sometimes refer to the more general associated Legendre polynomials as simply Legendre polynomials . In mathematics, Legendre functions are solutions to Legendre s differential equation::{d over dx} left [ (1 x^2) {d over dx} P n(x)… … Wikipedia
Legendre wavelet — Legendre wavelets: spherical harmonic wavelets = Compactly supported wavelets derived from Legendre polynomials are termed spherical harmonic or Legendre wavelets [1] . Legendre functions have widespread applications in which spherical coordinate … Wikipedia
List of mathematical functions — In mathematics, several functions or groups of functions are important enough to deserve their own names. This is a listing of pointers to those articles which explain these functions in more detail. There is a large theory of special functions… … Wikipedia
Prolate spheroidal wave functions — The prolate spheroidal wave functions are a set of functions derived by timelimiting and lowpassing, and a second timelimit operation. Let Q T denote the time truncation operator, such that x=Q T x iff x is timelimited within [ T/2;T/2] .… … Wikipedia
Spherical harmonics — In mathematics, the spherical harmonics are the angular portion of an orthogonal set of solutions to Laplace s equation represented in a system of spherical coordinates. Spherical harmonics are important in many theoretical and practical… … Wikipedia
Whipple formulae — In the theory of special functions, Whipple s transformation for Legendre functions, named after Francis John Welsh Whipple, arise from a general expression, concerning associated Legendre functions. These formulae have been presented previously… … Wikipedia
C++ Technical Report 1 — (TR1) является общим названием для стандарта ISO / IEC TR 19768, библиотеки расширений C++ это документ с предложением дополнений в стандарт библиотеки С++. Дополнения включают регулярные выражения, умные указатели, хэш таблицы, и… … Википедия
Pierre-Simon Laplace — Laplace redirects here. For the city in Louisiana, see LaPlace, Louisiana. For the joint NASA ESA space mission, see Europa Jupiter System Mission. Pierre Simon, marquis de Laplace Pierre Simon Laplace (1749–1827). Posthumous portrait … Wikipedia
Toroidal coordinates — are a three dimensional orthogonal coordinate system that results from rotating the two dimensional bipolar coordinate system about the axis that separates its two foci. Thus, the two foci F {1} and F {2} in bipolar coordinates become a ring of… … Wikipedia
Classical orthogonal polynomials — In mathematics, the classical orthogonal polynomials are the most widely used orthogonal polynomials, and consist of the Hermite polynomials, the Laguerre polynomials, the Jacobi polynomials together with their special cases the ultraspherical… … Wikipedia
