A -Analogue of -Whitney Numbers of the Second Kind and Its Hankel Transform
RB Corcino, JM Ontolan, J Cañete… - arXiv preprint arXiv …, 2019 - arxiv.org
arXiv preprint arXiv:1907.03094, 2019•arxiv.org
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.
_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.
A -analogue of -Whitney numbers of the second kind, denoted by , is defined by means of a triangular recurrence relation. In this paper, several fundamental properties for the -analogue are established including other forms of recurrence relations, explicit formulas and generating functions. Moreover, a kind of Hankel transform for is obtained.
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