Fractional Operator Approach and Hybrid Special Polynomials: The Generalized Gould–Hopper–Bell-Based Appell Polynomials and Their Characteristics

Fractional Operator Approach and Hybrid Special Polynomials: The Generalized Gould–Hopper–Bell-Based Appell Polynomials and Their Characteristics

This study introduces a novel generalized class of special polynomials using a fractional operator approach. These polynomials are referred to as the generalized Gould–Hopper–Bell-based Appell polynomials. In view of the operational method, we first introduce the operational representation of the Go...

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Bibliographic Details
Main Authors: Rabeb Sidaoui, E. I. Hassan, Abdulghani Muhyi, Khaled Aldwoah, A. H. A. Alfedeel, Khidir Shaib Mohamed, Alawia Adam
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Fractal and Fractional
Subjects:
fractional operators
Gould–Hopper polynomials
Bell polynomials
Appell polynomials
Bernoulli polynomials
generating function
Online Access:https://www.mdpi.com/2504-3110/9/5/281
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