Results 1 to 10 of about 528 (133)

Appell-Type Functions and Chebyshev Polynomials

open access: yesMathematics, 2019
In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used
Pierpaolo Natalini, Paolo Emilio Ricci
doaj   +2 more sources

A Note on q-Fubini-Appell Polynomials and Related Properties

open access: yesJournal of Function Spaces, 2021
The present article is aimed at introducing and investigating a new class of q-hybrid special polynomials, namely, q-Fubini-Appell polynomials. The generating functions, series representations, and certain other significant relations and identities of ...
Abdulghani Muhyi, Serkan Araci
doaj   +2 more sources

An Algebraic Approach to the Δh-Frobenius–Genocchi–Appell Polynomials

open access: yesMathematics, 2023
In recent years, the generating function of mixed-type special polynomials has received growing interest in several fields of applied sciences and physics.
Shahid Ahmad Wani   +6 more
doaj   +2 more sources

Szász-Durrmeyer operators involving Boas-Buck polynomials of blending type [PDF]

open access: yesJournal of Inequalities and Applications, 2017
The present paper introduces the Szász-Durrmeyer type operators based on Boas-Buck type polynomials which include Brenke type polynomials, Sheffer polynomials and Appell polynomials considered by Sucu et al. (Abstr. Appl. Anal. 2012:680340, 2012).
Manjari Sidharth   +2 more
doaj   +2 more sources

Symbolic computation of Appell polynomials using Maple

open access: yesElectronic Journal of Differential Equations, 2001
This work focuses on the symbolic computation of Appell polynomials using the computer algebra system Maple. After describing the traditional approach of constructing Appell polynomials, the paper examines the operator method of constructing the same ...
H. Alkahby   +3 more
doaj   +1 more source

General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints

open access: yesMathematics, 2021
An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties.
Francesco Aldo Costabile   +2 more
exaly   +3 more sources

A New Family of Appell-Type Changhee Polynomials with Geometric Applications

open access: yesAxioms
Recently, Appell-type polynomials have been investigated and applied in several ways. In this paper, we consider a new extension of Appell-type Changhee polynomials.
Rashad A. Al-Jawfi   +2 more
doaj   +2 more sources

Truncated-Exponential-Based General-Appell Polynomials

open access: yesMathematics
In this paper, a new and general form of truncated-exponential-based general-Appell polynomials is introduced using the two-variable general-Appell polynomials.
Zeynep Özat   +3 more
doaj   +2 more sources

On a family of q-modified-Laguerre-Appell polynomials

open access: yesArab Journal of Basic and Applied Sciences
This paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muhyi
doaj   +2 more sources

Construction of a Hybrid Class of Special Polynomials: Fubini–Bell-Based Appell Polynomials and Their Properties

open access: yesMathematics
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 function for these polynomials. Several related identities and properties,
Yasir A. Madani   +5 more
doaj   +2 more sources

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