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

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 this class are established. Some members of q-Fu...

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Main Authors: Abdulghani Muhyi, Serkan Araci
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/3805809
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author Abdulghani Muhyi
Serkan Araci
author_facet Abdulghani Muhyi
Serkan Araci
author_sort Abdulghani Muhyi
collection DOAJ
description 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 this class are established. Some members of q-Fubini-Appell polynomial family are investigated, and some properties of these members are obtained. Further, the class of 3-variable q-Fubini-Appell polynomials is also introduced, and some formulae related to this class are obtained. In addition, the determinant representations for these classes are established.
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institution Kabale University
issn 2314-8896
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language English
publishDate 2021-01-01
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spelling doaj-art-c39f72f48a0b481da74a72072c6f32682025-02-03T01:20:51ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/38058093805809A Note on q-Fubini-Appell Polynomials and Related PropertiesAbdulghani Muhyi0Serkan Araci1Department of Mathematics, Hajjah University, Hajjah, YemenDepartment of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, TR-27410 Gaziantep, TurkeyThe 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 this class are established. Some members of q-Fubini-Appell polynomial family are investigated, and some properties of these members are obtained. Further, the class of 3-variable q-Fubini-Appell polynomials is also introduced, and some formulae related to this class are obtained. In addition, the determinant representations for these classes are established.http://dx.doi.org/10.1155/2021/3805809
spellingShingle Abdulghani Muhyi
Serkan Araci
A Note on q-Fubini-Appell Polynomials and Related Properties
Journal of Function Spaces
title A Note on q-Fubini-Appell Polynomials and Related Properties
title_full A Note on q-Fubini-Appell Polynomials and Related Properties
title_fullStr A Note on q-Fubini-Appell Polynomials and Related Properties
title_full_unstemmed A Note on q-Fubini-Appell Polynomials and Related Properties
title_short A Note on q-Fubini-Appell Polynomials and Related Properties
title_sort note on q fubini appell polynomials and related properties
url http://dx.doi.org/10.1155/2021/3805809
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