New Proof of the Property of Stirling Number Based on Fubini Polynomials
The main purpose of this article is using the elementary methods and the properties of the Fubini polynomials to study the congruence properties of a signless Stirling number of the first kind and solve a conjecture proposed by J. H. Zhao and Z. Y. Chen. Without a doubt, the novel approach employed...
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| Format: | Article |
| Language: | English |
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Wiley
2024-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2024/4461499 |
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| _version_ | 1849308347672559616 |
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| author | Li Wang Xiaoge Liu |
| author_facet | Li Wang Xiaoge Liu |
| author_sort | Li Wang |
| collection | DOAJ |
| description | The main purpose of this article is using the elementary methods and the properties of the Fubini polynomials to study the congruence properties of a signless Stirling number of the first kind and solve a conjecture proposed by J. H. Zhao and Z. Y. Chen. Without a doubt, the novel approach employed in this work provides a useful reference for researching the congruence properties of other nonlinear binary recursive sequences. |
| format | Article |
| id | doaj-art-0e6429ac1dff423387890e58a0ba5cbc |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0e6429ac1dff423387890e58a0ba5cbc2025-08-20T03:54:29ZengWileyJournal of Mathematics2314-47852024-01-01202410.1155/2024/4461499New Proof of the Property of Stirling Number Based on Fubini PolynomialsLi Wang0Xiaoge Liu1Research Center for Number Theory and Its ApplicationsResearch Center for Number Theory and Its ApplicationsThe main purpose of this article is using the elementary methods and the properties of the Fubini polynomials to study the congruence properties of a signless Stirling number of the first kind and solve a conjecture proposed by J. H. Zhao and Z. Y. Chen. Without a doubt, the novel approach employed in this work provides a useful reference for researching the congruence properties of other nonlinear binary recursive sequences.http://dx.doi.org/10.1155/2024/4461499 |
| spellingShingle | Li Wang Xiaoge Liu New Proof of the Property of Stirling Number Based on Fubini Polynomials Journal of Mathematics |
| title | New Proof of the Property of Stirling Number Based on Fubini Polynomials |
| title_full | New Proof of the Property of Stirling Number Based on Fubini Polynomials |
| title_fullStr | New Proof of the Property of Stirling Number Based on Fubini Polynomials |
| title_full_unstemmed | New Proof of the Property of Stirling Number Based on Fubini Polynomials |
| title_short | New Proof of the Property of Stirling Number Based on Fubini Polynomials |
| title_sort | new proof of the property of stirling number based on fubini polynomials |
| url | http://dx.doi.org/10.1155/2024/4461499 |
| work_keys_str_mv | AT liwang newproofofthepropertyofstirlingnumberbasedonfubinipolynomials AT xiaogeliu newproofofthepropertyofstirlingnumberbasedonfubinipolynomials |