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ultraspherical polynomial

См. также в других словарях:

  • 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

  • Orthogonal polynomials — In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to each other under some inner product. The most widely used orthogonal polynomials are the… …   Wikipedia

  • Chebyshev polynomials — Not to be confused with discrete Chebyshev polynomials. In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev,[1] are a sequence of orthogonal polynomials which are related to de Moivre s formula and which can be defined… …   Wikipedia

  • Gegenbauer polynomials — In mathematics, Gegenbauer polynomials or ultraspherical polynomials are a class of orthogonal polynomials. They are named for Leopold Gegenbauer (1849 1903). They are obtained from hypergeometric series in cases where the series is in fact… …   Wikipedia

  • Turán's inequalities — In mathematics, Turán s inequalities are some inequalities for Legendre polynomials found by harvs|txt=yes|first=Paul |last=Turán|authorlink=Paul Turán|year=1950 (and first published by harvtxt|Szegö|1948). There are many generalizations to other …   Wikipedia

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