Results 11 to 20 of about 525,666 (282)
The Expansion of Wronskian Hermite Polynomials in the Hermite Basis [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 We express Wronskian Hermite polynomials in the Hermite basis and obtain an explicit formula for the coefficients. From this we deduce an upper bound for the modulus of the roots in the case of partitions of length 2. We also derive a general upper bound for the modulus of the real and purely imaginary roots.
Codruţ Grosu, Corina Grosu
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Series with Hermite polynomials and applications [PDF]
Publicationes Mathematicae Debrecen, 2012 arXiv admin note: substantial text overlap with arXiv:1006 ...
Ayhan Dil, Khristo N. Boyadzhiev
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Representations of degenerate Hermite polynomials [PDF]
arXiv, 2020 We introduce degenerate Hermite polynomials as a degenerate version of the ordinary Hermite polynomials. Then, among other things, by using the formula about representing one lambda-Sheffer polynomial in terms of other lambda-Sheffer polynomials we represent the degenerate Hermite polynomials in terms of the higher-order degenerate Bernoulli, Euler ...
Taekyun Kim +4 more
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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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Hermite and Laguerre 2D polynomials
Journal of Computational and Applied Mathematics, 2001 AbstractWe define Hermite 2D polynomials Hm,n(U;x,y) and Laguerre 2D polynomials Lm,n(U;z,z̄) as functions of two variables with an arbitrary 2D matrix U as parameter and discuss their properties and their explicit representation. Recursion relations and generating functions for these polynomials are derived. The advantage of the introduced Hermite and
Alfred Wünsche
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On the Hermite interpolation polynomial
Journal of Approximation Theory, 1984 Hannu Väliaho
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A note on Hermite polynomials [PDF]
arXiv, 2016 In this paper, we consider linear differential equations satisfied by the generating function for Hermite polynomials and derive some new identities involving those polynomials.
Kim, Taekyun, Kim, Dae San
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Monomiality and a New Family of Hermite Polynomials [PDF]
Symmetry, 2022 The monomiality principle is based on an abstract definition of the concept of derivative and multiplicative operators. This allows to treat different families of special polynomials as ordinary monomials. The procedure underlines a generalization of the
G. Dattoli, S. Licciardi
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