Legendre polynomials/Related Articles

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• Adrien-Marie Legendre [r]: (1752 – 1833) important French mathematician whose name lives on in the Legendre polynomials and associated Legendre functions. ^[e]
• Associated Legendre function [r]: Function defined by $P_{\ell }^{(m)}(x)=(1-x^{2})^{m/2}{\tfrac {d^{m}}{dx^{m}}}P_{\ell }(x)$ where P_ℓ denotes a Legendre function. ^[e]
• Catalog of special functions [r]: Add brief definition or description
• Gram-Schmidt orthogonalization [r]: Sequential procedure or algorithm for constructing a set of mutually orthogonal vectors from a given set of linearly independent vectors. ^[e]
• Kronecker delta [r]: A quantity depending on two subscripts which is equal to one when they are equal and zero when they are unequal. ^[e]
• Laplace expansion (potential) [r]: An expansion by means of which the determinant of a matrix may be computed in terms of the determinants of all possible smaller square matrices contained in the original. ^[e]
• Spherical harmonics [r]: A series of harmonic basis functions that can be used to describe the boundary of objects with spherical topology. ^[e]

Articles related by keyphrases (Bot populated)

• Gram-Schmidt orthogonalization [r]: Sequential procedure or algorithm for constructing a set of mutually orthogonal vectors from a given set of linearly independent vectors. ^[e]
• Adrien-Marie Legendre [r]: (1752 – 1833) important French mathematician whose name lives on in the Legendre polynomials and associated Legendre functions. ^[e]