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A Multinomial Theorem for Hermite Polynomials and Financial Applications
Different aspects of mathematical finance benefit from the use Hermite polynomials, and this is particularly the case where risk drivers have a Gaussian distribution.
Francois Buet-Golfouse
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A note on the monomiality principle and generalized polynomials [PDF]
The monomiality principle is used to state generalized forms of the division algorithm and of the remainder theorem for families of polynomials written as linear combination of Hermite polynomials.
G. Dattoli, C. Cesarano, D. Sacchetti
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Representations of degenerate Hermite polynomials [PDF]
Taekyun Kim+4 more
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The computation of some integrals containing Hermite polynomials [PDF]
Emil Navrátil, Ivan Úlehla
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On squares of Hermite polynomials [PDF]
Glasser, M.L., Shawagfeh, Nabil
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A digression on Hermite polynomials
Orthogonal polynomials are of fundamental importance in many fields of mathematics and science, therefore the study of a particular family is always relevant. In this manuscript, we present a survey of some general results of the Hermite polynomials and show a few of their applications in the connection problem of polynomials, probability theory and ...
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Approximate solution of optimal control problems using third order hermite polynomial functions [PDF]
Ernst D. Dickmanns, K. H. Well
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Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type
We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type.
Patrick Desrosiers, Martin Hallnäs
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Some classes of generating functions for the Laguerre and Hermite polynomials [PDF]
Madeline Cohen
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Multi-variable Gould-Hopper and Laguerre polynomials
The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials.
Caterina Cassisa, Paolo E. Ricci
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