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Sturmian Multiple Zeros for Stokes and Navier--Stokes Equations in $\re^3$ via Solenoidal Hermite Polynomials
Stokes and Navier–Stokes equations in R3 blow-up scaling solenoidal Hermite polynomials eigenfunction expansion
2011/9/9
Abstract: Multiple spatial zero formations for Stokes and Navier-Stokes equations in three dimensions are shown to occur according to nodal sets of solenoidal Hermite polynomials. Extensions to well-p...
Probabilistic Representation of Bernoulli, Euler and Carlitz Hermite Polynomials
Probabilistic Representation Euler Carlitz Hermite Polynomials
2010/12/6
We revisit in a probabilistic framework the umbral approach of Bernoulli numbers,Euler numbers and Carlitz Hermite polynomials by Gessel [1]. This study allows to explicit equivalents of some famous u...
The Mehler formula for the generalized Clifford-Hermite polynomials
Clifford analysis Fractional Fourier Hermite polynomials
2007/12/11
The Mehler formula for the Hermite polynomials allows for an integral representation of the one-dimensional Fractional Fourier transform. In this paper, we introduce a multi-dimensional Fractional Fou...
New Bosonic Operator Ordering Identities Gained by the Entangled State
Representation and Two-Variable Hermite Polynomials
operator ordering entangled state two-variable Hermite polynomials
2007/8/15
2002Vol.38No.3pp.297-300DOI:
New Bosonic Operator Ordering Identities Gained by the Entangled State
Representation and Two-Variable Hermite Polynomials
FAN Hong-Yi1,2 and FAN Yue2...