# Legendre function

In physical science and mathematics, the Legendre functions Pλ, Qλ and associated Legendre functions Pμλ, Qμλ, and Legendre functions of the second kind, Qn, are all solutions of Legendre's differential equation. The Legendre polynomials and the associated Legendre polynomials are also solutions of the differential equation in special cases, which, by virtue of being polynomials, have a large number of additional properties, mathematical structure, and applications. For these polynomial solutions, see the separate Wikipedia articles.

- Beurling algebra
- In mathematics, the term Beurling algebra is used for different algebras introduced by Arne Beurling (1949), usually it is an algebra of periodic functions with Fourier
- Wiener algebra
- In mathematics, the Wiener algebra, named after Norbert Wiener and usually denoted by A(T), is the space of absolutely convergent Fourier series. Here T denotes the circle group
- Hahn polynomials
- In mathematics, the Hahn polynomials are a family of orthogonal polynomials in the Askey scheme of hypergeometric orthogonal polynomials, introduced by Pafnuty Chebyshev in 1875 and rediscovered by Wolfgang Hahn. The Hahn class is a name for special cases
- Discrete Chebyshev polynomials
- In mathematics, discrete Chebyshev polynomials, or Gram polynomials, are a type of discrete orthogonal polynomials used in approximation theory, introduced by Pafnuty Chebyshev (1864) and rediscovered by Gram (1883
- Castelnuovo curve
- In algebraic geometry, a Castelnuovo curve, studied by Castelnuovo (1889), is a curve in projective space Pn of maximal genus g among irreducible non-degenerate curves of given degree d
- Peters polynomials
- In mathematics, the Peters polynomials sn(x) are polynomials studied by Peters given by the generating
- Group of symplectic type
- In mathematical finite group theory, a p-group of symplectic type is a p-group such that all characteristic abelian subgroups are cyclic
- Sieved Pollaczek polynomials
- In mathematics, sieved Pollaczek polynomials are a family of sieved orthogonal polynomials, introduced by Ismail (1985). Their recurrence relations are a modified version of the recurrence relations for Pollaczek polynomials
- Narumi polynomials
- In mathematics, the Narumi polynomials sn(x) are polynomials introduced by Narumi (1929) given by the generating
- Titanotaria
- Titanotaria is a genus of late, basal walrus from the Miocene of Orange County, California. Unlike much later odobenids, it lacked tusks. Titanotaria is known from an almost complete specimen which serves as the holotype for the only recognized species