Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

A GENERALIZATION OF CESARO POLYNOMIALS IN SEVERAL VARIABLES

View through CrossRef
Cesaro polynomials were introduced and investigated in 1978, and then have been cited in several articles [1, 2]. In this sequel, by modifying Lin at el. show how to generalize the Cesaro polynomials in one variables to present two generating functions of the generalized Cesaro polynomials g_{n}^{(s)}(λ,x) [6]. Very recently, M. A. Malik introduced and investigated Cesaro polynomials in two and three variables to give their generating functions [3]. Subsequently, N. Özmen investigated the generating functions for the q analogue of generalized Cesaro polynomials [7]. In this paper, new multivariate generalized Cesaro polynomials will be obtained. Two new generating functions will be given and some special properties of this polynomial will be examined.
Title: A GENERALIZATION OF CESARO POLYNOMIALS IN SEVERAL VARIABLES
Description:
Cesaro polynomials were introduced and investigated in 1978, and then have been cited in several articles [1, 2].
In this sequel, by modifying Lin at el.
show how to generalize the Cesaro polynomials in one variables to present two generating functions of the generalized Cesaro polynomials g_{n}^{(s)}(λ,x) [6].
Very recently, M.
A.
Malik introduced and investigated Cesaro polynomials in two and three variables to give their generating functions [3].
Subsequently, N.
Özmen investigated the generating functions for the q analogue of generalized Cesaro polynomials [7].
In this paper, new multivariate generalized Cesaro polynomials will be obtained.
Two new generating functions will be given and some special properties of this polynomial will be examined.

Related Results

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...
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....
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...
Symmetric $*$-polynomials on $\mathbb C^n$
Symmetric $*$-polynomials on $\mathbb C^n$
$*$-Polynomials are natural generalizations of usual polynomials between complex vector spaces. A $*$-polynomial is a function between complex vector spaces $X$ and $Y,$ which is a...
On a Class of Humbert-Hermite Polynomials
On a Class of Humbert-Hermite Polynomials
A unified presentation of a class of Humbert’s polynomials in two variables which generalizes the well known class of Gegenbauer, Humbert, Legendre, Chebycheff, Pincherle...
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...
On λ-Changhee–Hermite polynomials
On λ-Changhee–Hermite polynomials
Abstract In this paper, we introduce a new class of λ-analogues of the Changhee–Hermite polynomials and generalized Gould–Hopper–Appell type λ-Changhee polynomials, ...

Back to Top