Results 11 to 20 of about 33,621 (261)

An inequality for Hermite polynomials [PDF]

Proceedings 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
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On generalized Hermite polynomials

AIMS Mathematics
This article is devoted to establishing new formulas concerning generalized Hermite polynomials (GHPs) that generalize the classical Hermite polynomials.
Waleed Mohamed Abd-Elhameed , Omar Mazen Alqubori   +1 more
doaj   +2 more sources

On the Hermite interpolation polynomial

Journal of Approximation Theory, 1984
An elementary inductive proof of the Hermite interpolation polynomial is presented. The proof is constructive, i.e., it gives a method for determining the interpolation polynomial. A numerical example is given.
Hannu Väliaho
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On the summability of series of Hermite polynomials

Journal of Mathematical Analysis and Applications, 1964
G. G. Bilodeau
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On Hermite-Hermite matrix polynomials [PDF]

Mathematica Bohemica, 2008
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 differential equations satisfied by them is presented. A new expansion of the matrix exponential for a wide class
Mohamed Metwally, M. T. Mohamed, Ayman Shehata   +2 more
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Computation of Hermite polynomials [PDF]

Mathematics 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
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Hermite and Laguerre 2D polynomials

Journal of Computational and Applied Mathematics, 2001
The Hermite \(2D\) polynomials \(H_{m,n} (U;x,y)\) and Laguerre \(2D\) polynomials \(L_{m,n} (U;z,\overline z)\) are defined as functions of two variables with an arbitrary \(2D\) matrix \(U\) as parameter. Their properties are discussed, explicit representations are given and recursion relations and generating functions for these polynomials are ...
Alfred Wünsche
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Hermite equivalence of polynomials

Acta 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., Evertse, J.H., Györy, K., Remete, L., Swaminathan, A.   +4 more
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Multiindex Multivariable Hermite Polynomials [PDF]

Mathematical and Computational Applications, 2002
In the present paper multiindex multivariable Hermite polynomials in terms of series and generating function are defined. Their basic properties, differential and pure recurrence relations, differential equations, generating function relations and expansions have been established. Few deductions are also obtained.
HSP Shrivastava
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Truncated Hermite polynomials

Journal 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
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