A curious polynomial interpolation of Carlitz-Riordan's q-ballot numbers
نویسندگان
چکیده
We study a polynomial sequence Cn(x|q) defined as a solution of a q-difference equation. This sequence, evaluated at q-integers, interpolates Carlitz–Riordan’s q-ballot numbers. In the basis given by some kind of q-binomial coefficients, the coefficients are again some qballot numbers. We obtain another curious recurrence relation for these polynomials in a combinatorial way.
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عنوان ژورنال:
- Contributions to Discrete Mathematics
دوره 10 شماره
صفحات -
تاریخ انتشار 2015