Results 31 to 40 of about 972,343 (359)
Constrained orthogonal polynomials [PDF]
Journal of Physics A: Mathematical and General, 2005 11 pages, 10 ...
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Equivalences of the Multi-Indexed Orthogonal Polynomials [PDF]
, 2013 Multi-indexed orthogonal polynomials describe eigenfunctions of exactly solvable shape-invariant quantum mechanical systems in one dimension obtained by the method of virtual states deletion.
Odake, Satoru
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Expected number of real zeros for random linear combinations of orthogonal polynomials [PDF]
, 2015 We study the expected number of real zeros for random linear combinations of orthogonal polynomials. It is well known that Kac polynomials, spanned by monomials with i.i.d.
D. Lubinsky, I. Pritsker, Xiaoju Xie
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Orthogonality of quasi-orthogonal polynomials
Filomat, 2018 A result of P?lya states that every sequence of quadrature formulas Qn(f) with n nodes and positive Cotes numbers converges to the integral I(f) of a continuous function f provided Qn(f) = I(f) for a space of algebraic polynomials of certain degree that depends on n.
Bracciali, Cleonice F. +2 more
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Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space
International Journal of Mathematics and Mathematical Sciences, 2004 A new method for constructing Clifford algebra-valued orthogonal polynomials in the open unit ball of Euclidean space is presented. In earlier research, we only dealt with scalar-valued weight functions.
Fred Brackx +2 more
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Orthogonal polynomials with orthogonal derivatives [PDF]
Bulletin of the American Mathematical Society, 1938 We are concerned with the following assertion: THEOREM. If {φn(x)} and { φn’(x)} are orthogonal systems of polynomials, then {φn(x)} may be reduced to the classical polynomials of Jacobi, Laguerre, or Hermite by means of a linear transformation on x.
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Orthogonal polynomials of dimension –1 in the non-definite case [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1994 : Orthogonal polynomials of dimension d = −1 are a particular case of vector orthogonal polynomials which are, themselves, a particular case of biorthogonal polynomials.
C. BREZINSKI , M. REDIVO-ZAGLIA
doaj
Representations of orthogonal polynomials
Journal of Computational and Applied Mathematics, 1998 Zeilberger's algorithm provides a method to compute recurrence and differential equations from given hypergeometric series representations, and an adaption of Almquist and Zeilberger computes recurrence and differential equations for hyperexponential integrals.
Dieter Schmersau, Wolfram Koepf
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A set of orthogonal polynomials induced by a given orthogonal polynomial
Aequationes Mathematicae, 1993 Given an integern ⩾ 1, and the orthogonal polynomialsπn(·; dσ) of degreen relative to some positive measuredσ, the polynomial system “induced” byπn is the system of orthogonal polynomials\(\{ \hat \pi _{k,n} \} \) corresponding to the modified measure\(d\hat \sigma _n = \pi _n^2 d\sigma \).
Gautschi, Walter, Li, Shikang
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Polynomials orthogonal on the semicircle [PDF]
Journal of Approximation Theory, 1986 AbstractComplex polynomials {πk}, πk(z) = zk + ···, orthogonal with respect to the complex-valued inner product (f, g) = ∝0πf(eiθ)g(eiθ)dθ are studied. By direct calculation of moment determinants it is shown that these polynomials exist uniquely. The three-term recurrence relation satisfied by these polynomials is obtained explicitly as well as their ...
Gradimir V. Milovanović +1 more
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