A Parametric Kind of Fubini Polynomials of a Complex Variable
In this paper, we propose a parametric kind of Fubini polynomials by defining the two specific generating functions. We also investigate some analytical properties (for example, summation formulae, differential formulae and relationships with other well-known polynomials and numbers) for our introdu...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/8/4/643 |
| _version_ | 1797569961422487552 |
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| author | Sunil Kumar Sharma Waseem A. Khan Cheon Seoung Ryoo |
| author_facet | Sunil Kumar Sharma Waseem A. Khan Cheon Seoung Ryoo |
| author_sort | Sunil Kumar Sharma |
| collection | DOAJ |
| description | In this paper, we propose a parametric kind of Fubini polynomials by defining the two specific generating functions. We also investigate some analytical properties (for example, summation formulae, differential formulae and relationships with other well-known polynomials and numbers) for our introduced polynomials in a systematic way. Furthermore, we consider some relationships for parametric kind of Fubini polynomials associated with Bernoulli, Euler, and Genocchi polynomials and Stirling numbers of the second kind. |
| first_indexed | 2024-03-10T20:18:39Z |
| format | Article |
| id | doaj.art-b77a09824c1d446a9b8e16c32c0856bf |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T20:18:39Z |
| publishDate | 2020-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b77a09824c1d446a9b8e16c32c0856bf2023-11-19T22:22:05ZengMDPI AGMathematics2227-73902020-04-018464310.3390/math8040643A Parametric Kind of Fubini Polynomials of a Complex VariableSunil Kumar Sharma0Waseem A. Khan1Cheon Seoung Ryoo2College of Computer and Information Sciences, Majmaah University, Majmaah 11952, Saudi ArabiaDepartment of Mathematics and Natural Sciences, Prince Mohammad Bin Fahd University, P.O. Box 1664, Al Khobar 31952, Saudi ArabiaDepartment of Mathematics, Hannam University, Daejeon 34430, KoreaIn this paper, we propose a parametric kind of Fubini polynomials by defining the two specific generating functions. We also investigate some analytical properties (for example, summation formulae, differential formulae and relationships with other well-known polynomials and numbers) for our introduced polynomials in a systematic way. Furthermore, we consider some relationships for parametric kind of Fubini polynomials associated with Bernoulli, Euler, and Genocchi polynomials and Stirling numbers of the second kind.https://www.mdpi.com/2227-7390/8/4/643Bernoulli polynomialsEuler polynomialsGenocchi polynomialsFubini polynomialsStirling numbers |
| spellingShingle | Sunil Kumar Sharma Waseem A. Khan Cheon Seoung Ryoo A Parametric Kind of Fubini Polynomials of a Complex Variable Mathematics Bernoulli polynomials Euler polynomials Genocchi polynomials Fubini polynomials Stirling numbers |
| title | A Parametric Kind of Fubini Polynomials of a Complex Variable |
| title_full | A Parametric Kind of Fubini Polynomials of a Complex Variable |
| title_fullStr | A Parametric Kind of Fubini Polynomials of a Complex Variable |
| title_full_unstemmed | A Parametric Kind of Fubini Polynomials of a Complex Variable |
| title_short | A Parametric Kind of Fubini Polynomials of a Complex Variable |
| title_sort | parametric kind of fubini polynomials of a complex variable |
| topic | Bernoulli polynomials Euler polynomials Genocchi polynomials Fubini polynomials Stirling numbers |
| url | https://www.mdpi.com/2227-7390/8/4/643 |
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