Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
A new hybrid generalization of orthogonal polynomials
View through CrossRef
In this paper, we introduce and study hybrinomials defined by application of orthogonal polynomials. Using selected orthogonal polynomials and hybrid numbers operators, we define Hermite, Laguerre, Legendre and Chebyshev type hybrinomials and present some properties of them.
Tamkang Journal of Mathematics
Title: A new hybrid generalization of orthogonal polynomials
Description:
In this paper, we introduce and study hybrinomials defined by application of orthogonal polynomials.
Using selected orthogonal polynomials and hybrid numbers operators, we define Hermite, Laguerre, Legendre and Chebyshev type hybrinomials and present some properties of them.
Related Results
Orthogonality of quasi-orthogonal polynomials
Orthogonality of quasi-orthogonal polynomials
A result of P?lya states that every sequence of quadrature formulas Qn(f)
with n nodes and positive Cotes numbers converges to the integral I(f) of
a continuous function f pr...
On Semi-Classical Orthogonal Polynomials Associated with a Modified Sextic Freud-Type Weight
On Semi-Classical Orthogonal Polynomials Associated with a Modified Sextic Freud-Type Weight
Polynomials that are orthogonal with respect to a perturbation of the Freud weight function by some parameter, known to be modified Freudian orthogonal polynomials, are considered....
Pencils of Semi-Infinite Matrices and Orthogonal Polynomials
Pencils of Semi-Infinite Matrices and Orthogonal Polynomials
Semi-infinite matrices, generalized eigenvalue problems, and orthogonal polynomials are closely related subjects. They connect different domains in mathematics—matrix theory, opera...
Krein–Sobolev Orthogonal Polynomials II
Krein–Sobolev Orthogonal Polynomials II
In a recent paper, Littlejohn and Quintero studied the orthogonal polynomials {Kn}n=0∞—which they named Krein–Sobolev polynomials—that are orthogonal in the classical Sobolev space...
Truncated-Exponential-Based Appell-Type Changhee Polynomials
Truncated-Exponential-Based Appell-Type Changhee Polynomials
The truncated exponential polynomials em(x) (1), their extensions, and certain newly-introduced polynomials which combine the truncated exponential polynomials with other known pol...
A Note on Bi-Orthogonal Polynomials and Functions
A Note on Bi-Orthogonal Polynomials and Functions
The theory of orthogonal polynomials is well established and detailed, covering a wide field of interesting results, as, in particular, for solving certain differential equations. ...
Bernstein Polynomials for Solving Fractional Differential Equations with Two Parameters
Bernstein Polynomials for Solving Fractional Differential Equations with Two Parameters
This work presents a general framework for solving generalized fractional differential equations based on operational matrices of the generalized Bernstein polynomials. This method...
Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function
Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and ...