On the degree of approximation of the Hermite and Hermite-Fejer interpolation
International Journal of Mathematics and Mathematical Sciences, 1992 Here we find the order of convergence of the Hermite and Hermite-Fejér interpolation polynomials constructed on the zeros of (1−x2)Pn(x) where Pn(x) is the Legendre polynomial of degree n with normalization Pn(1)=1.
J. Prasad
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Mathematics, 2018 This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
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Coefficients for expressing the first thirty powers in terms of the Hermite polynomials [PDF]
, 1948 Herbert E. Salzer
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L1-norm convergence of Hermite-Fejér interpolation based on the Laguerre and Hermite abscissas [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 1994 : Convergence results are proved for Hermite–Fejér interpolation at the zeros of polynomials orthogonal with respect to generalized Laguerre and Hermite weights. These results can be applied to convergence of product integration rules.
P. RABINOWITZ , L.GORI
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Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
Mathematics, 2019 In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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A Uniqueness Theorem for the Legendre and Hermite Polynomials [PDF]
, 1924 K. P. Williams
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A note on the monomiality principle and generalized polynomials [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2001 The monomiality principle is used to state generalized forms of the division algorithm and of the remainder theorem for families of polynomials written as linear combination of Hermite polynomials.
G. Dattoli, C. Cesarano, D. Sacchetti
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The computation of some integrals containing Hermite polynomials [PDF]
, 1963 Emil Navrátil, Ivan Úlehla
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Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type
Symmetry, Integrability and Geometry: Methods and Applications, 2012 We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type.
Patrick Desrosiers, Martin Hallnäs
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Approximate solution of optimal control problems using third order hermite polynomial functions [PDF]
, 1975 Ernst D. Dickmanns, K. H. Well
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