A $q$-Analogue of $r$-Whitney Numbers of the Second Kind and Its Hankel Transform
| Autor: | Jay M. Ontolan, Jennifer Cañete, Roberto B. Corcino, Mary Joy R. Latayada |
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| Rok vydání: | 2019 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1907.03094 |
| Popis: | A $q$-analogue of $r$-Whitney numbers of the second kind, denoted by $W_{m,r}[n,k]_q$, is defined by means of a triangular recurrence relation. In this paper, several fundamental properties for the $q$-analogue are established including other forms of recurrence relations, explicit formulas and generating functions. Moreover, a kind of Hankel transform for $W_{m,r}[n,k]_q$ is obtained. Comment: The paper is composed of 13 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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