Hermite polynomials

Known as: Cubic Hermite Interpolations, Hermite functions, Hermite function 
In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: * probability, such as the… (More)
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Topic mentions per year

Topic mentions per year

1960-2017
0204019602017

Papers overview

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2008
2008
We analyze the polynomials H n(x) considered by Gould and Hopper, which generalize the classical Hermite polynomials. We present… (More)
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2007
2007
The space ${\cal P}_n$ of bivariate generalised Hermite polynomials of degree n is invariant under rotations. We exploit this… (More)
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2004
2004
We shall establish two-side explicit inequalities, which are asymptotically sharp up to a constant factor, on the maximum value… (More)
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2004
2004
The main objective of this paper is to construct smooth 1-parameter families of embedded minimal surfaces in euclidean space that… (More)
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Highly Cited
2002
Highly Cited
2002
We present a new method for solving stochastic differential equations based on Galerkin projections and extensions of Wiener’s… (More)
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2001
2001
The new method for obtaining a variety of extensions of Hermite polynomials is given. As a first example a family of orthogonal… (More)
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2000
2000
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  • 2000
We propose and study the properties of a set of polynomials M s nα,H (z) , C s nα,H (z) W s nα,H (z) with n, s ∈ N ; α = ±1;and… (More)
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Highly Cited
1997
Highly Cited
1997
Based on the theory of Dunkl operators, this paper presents a general concept of multivariable Hermite polynomials and Hermite… (More)
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1995
1995
We use generating functions to express orthogonality relations in the form of q-beta integrals. The integrand of such a q-beta… (More)
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1993
1993
The effective formulas reducing the two-dimensional Hermite polynomials to the classical (one-dimensional) orthogonal polynomials… (More)
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