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On Hermite-Hermite matrix polynomials [PDF]

open access: yesMathematica Bohemica, 2007
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
core   +3 more sources

An inequality for Hermite polynomials [PDF]

open access: bronzeProceedings of the American Mathematical Society, 1961
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
openalex   +2 more sources

On generalized Hermite polynomials

open access: yesAIMS Mathematics
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
doaj   +2 more sources

On the Hermite interpolation polynomial

open access: bronzeJournal of Approximation Theory, 1984
Hannu Väliaho
openalex   +3 more sources

On the summability of series of Hermite polynomials

open access: bronzeJournal of Mathematical Analysis and Applications, 1964
G. G. Bilodeau
openalex   +3 more sources

Hermite equivalence of polynomials

open access: yesActa Arithmetica, 2023
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
openaire   +3 more sources

Truncated Hermite polynomials

open access: yesJournal of Difference Equations and Applications, 2023
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
openaire   +2 more sources

Computation of Hermite polynomials [PDF]

open access: yesMathematics of Computation, 1973
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
openaire   +1 more source

The Expansion of Wronskian Hermite Polynomials in the Hermite Basis [PDF]

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2021
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
openaire   +3 more sources

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