Results 81 to 90 of about 1,199 (184)

Elliptic Biorthogonal Polynomials Connected with Hermite's Continued Fraction

open access: yesSymmetry, 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
doaj  

On Convoluted Forms of Multivariate Legendre-Hermite Polynomials with Algebraic Matrix Based Approach

open access: yesMathematics
The 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
doaj   +1 more source

A generalization of Phillips operators by using the Appell polynomials of class A ( 2 ) $A^{(2)}$

open access: yesJournal of Inequalities and Applications
The 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
doaj   +1 more source

On Generalized Class of Bell Polynomials Associated with Geometric Applications

open access: yesAxioms
In 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
doaj   +1 more source

On a q-analogue of Hermite polynomials

open access: yesRevista Técnica de la Facultad de Ingeniería, 2011
The present paper attempts at exploring some properties for a q-analogue of Hermite polynomials.
H. Madhelar
doaj  

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