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There is a page named "Associated Legendre function" on Wikipedia
- science and mathematics, the Legendre functions Pλ, Qλ and associated Legendre functions Pμ λ, Qμ λ, and Legendre functions of the second kind, Qn, are...11 KB (1,723 words) - 11:01, 15 May 2024
- In mathematics, the associated Legendre polynomials are the canonical solutions of the general Legendre equation ( 1 − x 2 ) d 2 d x 2 P ℓ m ( x ) − 2...31 KB (5,475 words) - 23:52, 6 March 2024
- related to the Legendre polynomials are associated Legendre polynomials, Legendre functions, Legendre functions of the second kind, big q-Legendre polynomials...31 KB (5,373 words) - 23:47, 14 August 2024
- variables, then the Legendre transform with respect to this variable is applicable to the function. In physical problems, the Legendre transform is used...51 KB (8,922 words) - 16:13, 10 August 2024
- function Riesz function Hypergeometric functions: Versatile family of power series. Confluent hypergeometric function Associated Legendre functions Meijer G-function...10 KB (1,065 words) - 09:21, 10 August 2024
- latitude and may be expressed as an infinite sum of associated Legendre polynomials; the functions are orthogonal over the sphere in the continuous case. Thus...3 KB (277 words) - 05:02, 17 February 2024
- theorem of algebra. The name gamma function and the symbol Γ were introduced by Adrien-Marie Legendre around 1811; Legendre also rewrote Euler's integral definition...90 KB (13,358 words) - 11:17, 17 August 2024
- in families of rational orthogonal functions called Legendre rational functions and Chebyshev rational functions. Solutions of linear differential equations...6 KB (771 words) - 22:44, 1 January 2024
- 1795. At the same time, he was associated with the Bureau des Longitudes. In 1782, the Berlin Academy awarded Legendre a prize for his treatise on projectiles...17 KB (1,805 words) - 14:57, 23 July 2024
- Gauss–Legendre algorithm Gauss–Legendre method Gauss–Legendre quadrature Legendre (crater) Legendre chi function Legendre duplication formula Legendre–Papoulis...1 KB (111 words) - 16:48, 20 March 2022
- numerical analysis, Gauss–Legendre quadrature is a form of Gaussian quadrature for approximating the definite integral of a function. For integrating over...13 KB (1,597 words) - 04:38, 25 March 2024
- as kernels of the transform. Legendre transform is a special case of Jacobi transform. The Legendre transform of a function f ( x ) {\displaystyle f(x)}...4 KB (340 words) - 17:00, 19 July 2022
- Whipple formulae (redirect from Whipple's transformation of Legendre functions)Welsh Whipple, arise from a general expression, concerning associated Legendre functions. These formulae have been presented previously in terms of a...3 KB (751 words) - 15:49, 10 June 2021
- P_{n}^{m}\left(\cos \theta \right)} are the Schmidt quasi-normalized associated Legendre functions of degree n {\displaystyle n} and order m {\displaystyle m}...6 KB (793 words) - 13:19, 28 December 2023
- integrable functions on the unit sphere S2 is a Hilbert space. The basis functions in this case are the spherical harmonics. The Legendre polynomials...99 KB (13,547 words) - 12:29, 18 August 2024
- Spherical harmonics (redirect from Spheroidal function)harmonic function of degree ℓ and order m, P ℓ m : [ − 1 , 1 ] → R {\displaystyle P_{\ell }^{m}:[-1,1]\to \mathbb {R} } is an associated Legendre polynomial...75 KB (12,420 words) - 02:21, 15 August 2024
- Elliptic integral (category Elliptic functions)rational functions and the three Legendre canonical forms (i.e. the elliptic integrals of the first, second and third kind). Besides the Legendre form given...43 KB (8,190 words) - 11:01, 13 August 2024
- supported wavelets derived from Legendre polynomials are termed Legendre wavelets or spherical harmonic wavelets. Legendre functions have widespread applications...9 KB (1,206 words) - 20:03, 31 January 2022
- z) for reference: also P0n are the Legendre polynomials and Pmn for 1 ≤ m ≤ n are the associated Legendre functions. The first spherical harmonics with...25 KB (1,976 words) - 23:21, 14 August 2024
- e^{-i\mu \phi }} Where P and Q are associated Legendre functions of the first and second kind. These Legendre functions are often referred to as toroidal...16 KB (2,912 words) - 01:48, 10 December 2023
- subjects which are especially associated with his name. Elliptic Functions.—This is the subject with which Legendre’s name will always be most closely
- the impression made on Legendre by his treatment of elliptic functions. ...The frankness of the acknowledgment made by Legendre, and the spirited manner
- {\displaystyle S} is called a {\bf Legendre transform}.\index{Legendre transformation} L {\displaystyle L} is function of the y i {\displaystyle y^{i}}