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On Hermite-Hermite matrix polynomials [PDF]
summary:In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and ...
Metwally, M. S.+2 more
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An inequality for Hermite polynomials [PDF]
1. G. Higman, Enumerating p-groups, I: Inequalities, Proc. London Math. Soc. vol. 10 (1960) pp. 24-30. 2. , Enumerating p-groups, II: Problems whose solution is PORC, Proc. London Math. Soc. vol. 10 (1960) pp. 566-582. 3. M. Hall, Jr., The theory of groups, New York, Macmillan, 1959. 4. K. W.
Jack Indritz
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On generalized Hermite polynomials
This article is devoted to establishing new formulas concerning generalized Hermite polynomials (GHPs) that generalize the classical Hermite polynomials.
Waleed Mohamed Abd-Elhameed +1 more
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On the Hermite interpolation polynomial
Hannu Väliaho
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On the summability of series of Hermite polynomials
G. G. Bilodeau
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Hermite equivalence of polynomials
Compared with the previous version we have inserted some changes and corrections suggested by the anonymous referee. This is the final version.
Bhargava, M.+4 more
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We consider the family of polynomials $p_{n}\left( x;z\right) ,$ orthogonal with respect to the inner product \[ \left\langle f,g\right\rangle = \int_{-z}^{z} f\left( x\right) g\left( x\right) e^{-x^{2}} \,dx. \] We show some properties about the coefficients in their 3-term recurrence relation, connections between $p_{n}\left( x;z\right) $ and $p_{n}^{
Diego Dominici, Francisco Marcellán
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Computation of Hermite polynomials [PDF]
Projection methods are commonly used to approximate solutions of ordinary and partial differential equations. A basis of the subspace under consideration is needed to apply the projection method. This paper discusses methods of obtaining a basis for piecewise polynomial Hermite subspaces. A simple recursive procedure is derived for generating piecewise
George E. Trapp, Laurance C. Eisenhart
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The Expansion of Wronskian Hermite Polynomials in the Hermite Basis [PDF]
We express Wronskian Hermite polynomials in the Hermite basis and obtain an explicit formula for the coefficients. From this we deduce an upper bound for the modulus of the roots in the case of partitions of length 2. We also derive a general upper bound for the modulus of the real and purely imaginary roots.
Codruţ Grosu, Corina Grosu
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