A Note on Generalized Bell-Appell Polynomials

This paper aims to establish a new hybrid class of special polynomials, namely, the generalized Bell-Appell polynomials. The idea of the monomiality principle is used to construct the generating function for the generalized Bell-Appell polynomials. Certain related identities and properties are also considered. The determinant representation is also derived. Further, we present some special cases of generalized Bell-Appell family and investigate the corresponding results.

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Publication Details

Journal
Advances in Analysis and Applied Mathematics
Published
2024-12-31
DOI
https://doi.org/10.62298/advmath.8
Citations
2
Primary Topic
Advanced Mathematical Identities
Type
article
Field-Weighted Citation Impact
2.54

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article

A Note on Generalized Bell-Appell Polynomials

Abdulghani Muhyi
2 citations
Advances in Analysis and Applied Mathematics
Advanced Mathematical Identities
2.54
article

A Note on Generalized Bell-Appell Polynomials

Abdulghani Muhyi
article en
2 citations

Abstract

This paper aims to establish a new hybrid class of special polynomials, namely, the generalized Bell-Appell polynomials. The idea of the monomiality principle is used to construct the generating function for the generalized Bell-Appell polynomials. Certain related identities and properties are also considered. The determinant representation is also derived. Further, we present some special cases of generalized Bell-Appell family and investigate the corresponding results.

Advances in Analysis and Applied Mathematics
University of Sharjah (AE)
Düzce Üniversitesi
Openalex Percentile: Top 9%
Advanced Mathematical Identities
2.54
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