Results 101 to 110 of about 32,202 (209)
Mathematics, 2018 This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
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Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
Mathematics, 2019 In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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Theory of generalized hermite polynomials
Computers & Mathematics with Applications, 1994 The paper discusses multivariable forms of Hermite polynomials. The polynomials are introduced by generating functions. Orthogonality, series expansions in terms of the generalized polynomials and partial differential equations are discussed. For the two-dimensional case several graphs are given.
Dattoli, G. +4 more
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Generalized Hermite polynomials
Journal of Computational and Applied Mathematics, 1975 AbstractHermite polynomials of several variables are defined by a generalization of the Rodrigues formula for ordinary Hermite polynomials. Several properties are derived, including the differential equation satisfied by the polynomials and their explicit expression. An application is given.
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Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type
Symmetry, Integrability and Geometry: Methods and Applications, 2012 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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Multi-variable Gould-Hopper and Laguerre polynomials
Le Matematiche, 2007 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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Exploring Zeros of Hermite-λ Matrix Polynomials: A Numerical Approach
MathematicsThis article aims to introduce a set of hybrid matrix polynomials associated with λ-polynomials and explore their properties using a symbolic approach.
Maryam Salem Alatawi +3 more
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Certain Summation and Operational Formulas Involving Gould–Hopper–Lambda Polynomials
MathematicsThis manuscript introduces the family of Gould–Hopper–Lambda polynomials and establishes their quasi-monomial properties through the umbral method. This approach serves as a powerful mechanism to analyze the characteristic of multi-variable special ...
Maryam Salem Alatawi
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Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study a family of the Laurent biorthogonal polynomials arising from the Hermite continued fraction for a ratio of two complete elliptic integrals. Recurrence coefficients, explicit expression and the weight function for these polynomials are obtained.
Luc Vinet, Alexei Zhedanov
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