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Hermite polynomials
Known as:
Hermitian polynomial
, Hermite form
, Cubic Hermite Interpolations
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In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence. The polynomials arise in: * probability, such as the…
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Related topics
Related topics
30 relations
Appell sequence
Bell polynomials
Bernoulli polynomials
Binomial type
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
Multiple Hermite polynomials and simultaneous Gaussian quadrature
W. Assche
,
A. Vuerinckx
Electronic Transactions on Numerical Analysis
2018
Corpus ID: 102498303
Multiple Hermite polynomials are an extension of the classical Hermite polynomials for which orthogonality conditions are imposed…
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2015
2015
Operational methods for Hermite polynomials with applications
C. Cesarano
,
G. M. Cennamo
,
L. Placidi
2015
Corpus ID: 15812157
We exploit methods of operational nature to derive a set of new identities involving families of polynomials associated with…
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2010
2010
RANDOM HERMITE POLYNOMIALS AND GIRSANOV IDENTITIES ON THE WIENER SPACE
Nicolas Privault
2010
Corpus ID: 27189100
In this paper, we derive a formula for the expectation of random Hermite polynomials in Skorohod integrals, extending classical…
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2010
2010
TURN-TYPE INEQUALITIES FOR THE GAMMA AND POLYGAMMA FUNCTIONS
C. Mortici
2010
Corpus ID: 125886671
The aim of this paper is to establish new Turan-type inequalities involving the polygamma functions, which are stronger than the…
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2009
2009
Two curious $q$-analogues of Hermite polynomials
J. Cigler
,
Jiang Zeng
2009
Corpus ID: 14060430
Two well-known q-Hermite polynomials are the continuous and discrete q-Hermite polynomials. In this paper we consider two new q…
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2008
2008
New expressions for Laguerre and Hermite polynomials
H. Moya-Cessa
2008
Corpus ID: 115163143
New expressions for Laguerre and Hermite polynomials are shown. They are based on operator algebras commonly used in quantum…
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2007
2007
Discrete Gauss-Hermite Functions and Eigenvectors of the Centered Discrete Fourier Transform
Balu Santhanam
,
T. S. Santhanam
IEEE International Conference on Acoustics…
2007
Corpus ID: 6049292
Existing approaches to furnishing a basis of eigenvectors for the discrete Fourier transform (DFT) are based upon defining…
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2005
2005
Multi-User Ultra-Wide Band Communication System Based on Modified Gegenbauer and Hermite Functions
F. Elbahhar
,
A. Rivenq
,
J. Rouvaen
Wireless personal communications
2005
Corpus ID: 8753950
In this paper a multi-user communication system based on ultra-wide band (UWB) technology is studied. UWB uses very short pulses…
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2000
2000
An Asymptotic Expansion for the Number of Permutations with a Certain Number of Inversions
L. Clark
Electronic Journal of Combinatorics
2000
Corpus ID: 16392365
Let $b(n,k)$ denote the number of permutations of $\{1,\ldots,n\}$ with precisely $k$ inversions. We represent $b(n,k)$ as a real…
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2000
2000
SOME FAMILIES OF MIXED GENERATING FUNCTIONS AND GENERALIZED POLYNOMIALS
G. Dattoli
,
S. Lorenzutta
,
H. M. Svrivastava
,
A. Torre
2000
Corpus ID: 122432037
The main object of this paper is to show that combined use of the Lagrange expansion and certain operational techniques allows to…
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