| Difference Properties of Riordan Arrays and Their Applications |
| Received:January 29, 2022 Revised:June 26, 2022 |
| Key Words:
Riordan array stirling number stirling number of type $B$ Gegenbauer-Humbert-type polynomial
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| Fund Project:Supported by ``Liaoning BaiQianWan Talents Program" (2017). |
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| Abstract: |
| In this paper, we consider the difference properties of Riordan arrays. As their applications, we provide some difference identities involving several classical combinatorial sequences such as the generalized Stirling numbers, including Stirling numbers of the first and second kinds and Stirling numbers of type $B$ of the first and second kinds, and Gegenbauer-Humbert-type polynomials. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2022.06.001 |
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