Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Finding Appell convolution of certain special polynomials
View through CrossRef
In this article, the truncated exponential-Gould-Hopper polynomials are
taken as base with the Appell polynomials to introduce a hybrid family
of truncated exponential-Gould-Hopper-Appell polynomials. These
polynomials are framed within the context of monomiality principle and
their determinant definition and properties are established. Further, we
investigate some members belonging to this family. In addition graphical
representation and zeros of these members are demonstrated using
computer experiment.
Title: Finding Appell convolution of certain special polynomials
Description:
In this article, the truncated exponential-Gould-Hopper polynomials are
taken as base with the Appell polynomials to introduce a hybrid family
of truncated exponential-Gould-Hopper-Appell polynomials.
These
polynomials are framed within the context of monomiality principle and
their determinant definition and properties are established.
Further, we
investigate some members belonging to this family.
In addition graphical
representation and zeros of these members are demonstrated using
computer experiment.
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...
Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties
Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties
This paper aims to establish a new hybrid class of special polynomials, namely, the Fubini–Bell-based Appell polynomials. The monomiality principle is used to derive the generating...
Novel Formulas of Schröder Polynomials and Their Related Numbers
Novel Formulas of Schröder Polynomials and Their Related Numbers
This paper explores the Schröder polynomials, a class of polynomials that produce the famous Schröder numbers when x=1. The three-term recurrence relation and the inversion formula...
On Convolved Fibonacci Polynomials
On Convolved Fibonacci Polynomials
This work delves deeply into convolved Fibonacci polynomials (CFPs) that are considered generalizations of the standard Fibonacci polynomials. We present new formulas for these pol...
Some Orthogonal Combinations of Legendre Polynomials
Some Orthogonal Combinations of Legendre Polynomials
The principle objective of this article is to introduce and investigate a type of orthogonal polynomials that are written as combinations of Legendre polynomials. This kind of poly...
New Formulas and Connections Involving Euler Polynomials
New Formulas and Connections Involving Euler Polynomials
The major goal of the current article is to create new formulas and connections between several well-known polynomials and the Euler polynomials. These formulas are developed using...
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,
...
Generalized Power Summability Methods for Dunkl-gamma Type Operators Including Appell Polynomials and Their Applications
Generalized Power Summability Methods for Dunkl-gamma Type Operators Including Appell Polynomials and Their Applications
Abstract
In this paper we give some properties of the Dunkl-Gamma type operators including Appell polynomials, using into consideration the generalized power summability me...