Novel Properties of <i>q</i>-Sine-Based and <i>q</i>-Cosine-Based <i>q</i>-Fubini Polynomials
The main purpose of this paper is to consider <i>q</i>-sine-based and <i>q</i>-cosine-Based <i>q</i>-Fubini polynomials and is to investigate diverse properties of these polynomials. Furthermore, multifarious correlations including <i>q</i>-analogues o...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-01-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/15/2/356 |
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| author | Waseem Ahmad Khan Maryam Salem Alatawi Cheon Seoung Ryoo Ugur Duran |
| author_facet | Waseem Ahmad Khan Maryam Salem Alatawi Cheon Seoung Ryoo Ugur Duran |
| author_sort | Waseem Ahmad Khan |
| collection | DOAJ |
| description | The main purpose of this paper is to consider <i>q</i>-sine-based and <i>q</i>-cosine-Based <i>q</i>-Fubini polynomials and is to investigate diverse properties of these polynomials. Furthermore, multifarious correlations including <i>q</i>-analogues of the Genocchi, Euler and Bernoulli polynomials, and the <i>q</i>-Stirling numbers of the second kind are derived. Moreover, some approximate zeros of the <i>q</i>-sinebased and <i>q</i>-cosine-Based <i>q</i>-Fubini polynomials in a complex plane are examined, and lastly, these zeros are shown using figures. |
| first_indexed | 2024-03-11T08:05:23Z |
| format | Article |
| id | doaj.art-f247d268453348a9963eb54fbd3aef06 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-11T08:05:23Z |
| publishDate | 2023-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-f247d268453348a9963eb54fbd3aef062023-11-16T23:32:13ZengMDPI AGSymmetry2073-89942023-01-0115235610.3390/sym15020356Novel Properties of <i>q</i>-Sine-Based and <i>q</i>-Cosine-Based <i>q</i>-Fubini PolynomialsWaseem Ahmad Khan0Maryam Salem Alatawi1Cheon Seoung Ryoo2Ugur Duran3Department of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi ArabiaDepartment of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Hannam University, Daejeon 34430, Republic of KoreaDepartment of the Basic Concepts of Engineering, Faculty of Engineering and Natural Sciences, Iskenderun Technical University, Hatay TR-31200, TurkeyThe main purpose of this paper is to consider <i>q</i>-sine-based and <i>q</i>-cosine-Based <i>q</i>-Fubini polynomials and is to investigate diverse properties of these polynomials. Furthermore, multifarious correlations including <i>q</i>-analogues of the Genocchi, Euler and Bernoulli polynomials, and the <i>q</i>-Stirling numbers of the second kind are derived. Moreover, some approximate zeros of the <i>q</i>-sinebased and <i>q</i>-cosine-Based <i>q</i>-Fubini polynomials in a complex plane are examined, and lastly, these zeros are shown using figures.https://www.mdpi.com/2073-8994/15/2/356<i>q</i>-special polynomials<i>q</i>-trigonometric polynomials<i>q</i>-Fubini polynomials<i>q</i>-Stirling numbers of the second kind |
| spellingShingle | Waseem Ahmad Khan Maryam Salem Alatawi Cheon Seoung Ryoo Ugur Duran Novel Properties of <i>q</i>-Sine-Based and <i>q</i>-Cosine-Based <i>q</i>-Fubini Polynomials Symmetry <i>q</i>-special polynomials <i>q</i>-trigonometric polynomials <i>q</i>-Fubini polynomials <i>q</i>-Stirling numbers of the second kind |
| title | Novel Properties of <i>q</i>-Sine-Based and <i>q</i>-Cosine-Based <i>q</i>-Fubini Polynomials |
| title_full | Novel Properties of <i>q</i>-Sine-Based and <i>q</i>-Cosine-Based <i>q</i>-Fubini Polynomials |
| title_fullStr | Novel Properties of <i>q</i>-Sine-Based and <i>q</i>-Cosine-Based <i>q</i>-Fubini Polynomials |
| title_full_unstemmed | Novel Properties of <i>q</i>-Sine-Based and <i>q</i>-Cosine-Based <i>q</i>-Fubini Polynomials |
| title_short | Novel Properties of <i>q</i>-Sine-Based and <i>q</i>-Cosine-Based <i>q</i>-Fubini Polynomials |
| title_sort | novel properties of i q i sine based and i q i cosine based i q i fubini polynomials |
| topic | <i>q</i>-special polynomials <i>q</i>-trigonometric polynomials <i>q</i>-Fubini polynomials <i>q</i>-Stirling numbers of the second kind |
| url | https://www.mdpi.com/2073-8994/15/2/356 |
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