Results 51 to 60 of about 984,401 (366)
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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A ‘missing’ family of classical orthogonal polynomials [PDF]
, 2010 We study a family of ‘classical’ orthogonal polynomials which satisfy (apart from a three-term recurrence relation) an eigenvalue problem with a differential operator of Dunkl type.
L. Vinet, A. Zhedanov
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Orthogonal polynomials for exponential weights x2α(1 – x2)2ρe–2Q(x) on [0, 1)
Open Mathematics, 2020 Let Wα,ρ = xα(1 – x2)ρe–Q(x), where α > –12$\begin{array}{} \displaystyle \frac12 \end{array}$ and Q is continuous and increasing on [0, 1), with limit ∞ at 1.
Liu Rong
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On the Connection Coefficients of the Chebyshev-Boubaker Polynomials
The Scientific World Journal, 2013 The Chebyshev-Boubaker polynomials are the orthogonal polynomials whose coefficient arrays are defined by ordinary Riordan arrays. Examples include the Chebyshev polynomials of the second kind and the Boubaker polynomials.
Paul Barry
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, 2004 We complete the construction of raising and lowering operators, given in a previous work, for the orthogonal polynomials of hypergeometric type on non-homogeneous lattice, and extend these operators to the generalized orthogonal polynomials, namely ...
Alvarez-Nodarse R +24 more
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Orthogonal Homogeneous Polynomials
Advances in Applied Mathematics, 1999 These are stringent results on real homogeneous polynomials in several real variables: if the polynomials form a normalized biorthogonal system (with respect to a certain inner product, which is defined using partial derivatives of one of the components), then an addition theorem holds, and conversely: the addition property is sufficient for ...
A. Fryant, A. Naftalevich, M. K. Vemuri
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Bernstein collocation method for neutral type functional differential equation
Mathematical Biosciences and Engineering, 2021 Functional differential equations of neutral type are a class of differential equations in which the derivative of the unknown functions depends on the history of the function and its derivative as well. Due to this nature the explicit solutions of these
Ishtiaq Ali
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Advances in Mechanical Engineering, 2015 Boundary characteristic orthogonal polynomials proposed by the author in 1985 have been used in the Rayleigh Ritz method extensively in order to obtain natural frequencies of vibrating plates with different boundary conditions.
Rama B Bhat
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Multivariate Krawtchouk polynomials and composition birth and death processes
, 2016 This paper defines the multivariate Krawtchouk polynomials, orthogonal on the multinomial distribution, and summarizes their properties as a review. The multivariate Krawtchouk polynomials are symmetric functions of orthogonal sets of functions defined ...
Griffiths, Robert
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Singular Values of Products of Ginibre Random Matrices, Multiple Orthogonal Polynomials and Hard Edge Scaling Limits [PDF]
, 2013 Akemann, Ipsen and Kieburg recently showed that the squared singular values of products of M rectangular random matrices with independent complex Gaussian entries are distributed according to a determinantal point process with a correlation kernel that ...
A. Kuijlaars, Lun Zhang
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