Results 91 to 100 of about 1,209 (188)
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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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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MathematicsThe main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat +3 more
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A generalization of Phillips operators by using the Appell polynomials of class A ( 2 ) $A^{(2)}$
Journal of Inequalities and ApplicationsThe current paper discusses some important approximation properties of a new modification of the Phillips operators with the help of A ( 2 ) $A^{(2)}$ class Appell polynomials.
Melek Sofyalıoğlu Aksoy
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On Generalized Class of Bell Polynomials Associated with Geometric Applications
AxiomsIn this paper, we introduce a new class of special polynomials called the generalized Bell polynomials, constructed by combining two-variable general polynomials with two-variable Bell polynomials. The concept of the monomiality principle was employed to
Rashad A. Al-Jawfi +2 more
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