Results 1 to 10 of about 33,296 (252)
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 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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An Alternative Definition of the Hermite Polynomials Related to the Dunkl Laplacian [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We introduce the so-called Clifford-Hermite polynomials in the framework of Dunkl operators, based on the theory of Clifford analysis. Several properties of these polynomials are obtained, such as a Rodrigues formula, a differential equation and an ...
Hendrik De Bie
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Coefficients of Wronskian Hermite polynomials [PDF]
Studies in Applied Mathematics, 2020 AbstractWe study Wronskians of Hermite polynomials labeled by partitions and use the combinatorial concepts of cores and quotients to derive explicit expressions for their coefficients. These coefficients can be expressed in terms of the characters of irreducible representations of the symmetric group, and also in terms of hook lengths.
Clare Dunning +2 more
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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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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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On the summability of series of Hermite polynomials
Journal of Mathematical Analysis and Applications, 1964 G. G. Bilodeau
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On generalized Hermite polynomials
AIMS MathematicsThis article is devoted to establishing new formulas concerning generalized Hermite polynomials (GHPs) that generalize the classical Hermite polynomials.
Waleed Mohamed Abd-Elhameed +1 more
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Some relations satisfied by Hermite-Hermite matrix polynomials [PDF]
Mathematica Bohemica, 2017 The classical Hermite-Hermite matrix polynomials for commutative matrices were first studied by Metwally et al. (2008). Our goal is to derive their basic properties including the orthogonality properties and Rodrigues formula.
Ayman Shehata, Lalit Mohan Upadhyaya
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