In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: * probability, such as theâ€¦Â (More)

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2008

2008

- Diego Dominici
- 2008

We analyze the polynomials H n(x) considered by Gould and Hopper, which generalize the classical Hermite polynomials. We presentâ€¦Â (More)

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2007

2007

- Shayne Waldron
- Numerical Algorithms
- 2007

The space ${\cal P}_n$ of bivariate generalised Hermite polynomials of degree n is invariant under rotations. We exploit thisâ€¦Â (More)

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2004

2004

- Ilia Krasikov
- 2004

We shall establish two-side explicit inequalities, which are asymptotically sharp up to a constant factor, on the maximum valueâ€¦Â (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 thatâ€¦Â (More)

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Highly Cited

2002

Highly Cited

2002

- Dongbin Xiu, George E. Karniadakis
- SIAM J. Scientific Computing
- 2002

We present a new method for solving stochastic differential equations based on Galerkin projections and extensions of Wienerâ€™sâ€¦Â (More)

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2001

2001

- V. V. Borzov
- 2001

The new method for obtaining a variety of extensions of Hermite polynomials is given. As a first example a family of orthogonalâ€¦Â (More)

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2000

2000

- Mekhfi M
- 2000

We propose and study the properties of a set of polynomials M s nÎ±,H (z) , C s nÎ±,H (z) W s nÎ±,H (z) with n, s âˆˆ N ; Î± = Â±1;andâ€¦Â (More)

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Highly Cited

1997

Highly Cited

1997

- Margit RÃ¶sler
- 1997

Based on the theory of Dunkl operators, this paper presents a general concept of multivariable Hermite polynomials and Hermiteâ€¦Â (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-betaâ€¦Â (More)

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1993

1993

The effective formulas reducing the two-dimensional Hermite polynomials to the classical (one-dimensional) orthogonal polynomialsâ€¦Â (More)

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