Asymptotic normality of the Stirling-Whitney-Riordan triangle
نویسندگان
چکیده
Recently, Zhu [34] introduced a Stirling-Whitney-Riordan triangle [Tn,k]n,k?0 satisfying the recurrence Tn,k = (b1k + b2)Tn?1,k?1 [(2?b1 a1)k a2 ?(b1 b2)]Tn?1,k ?(a1 ?b1)(k 1)Tn?1,k+1, where initial conditions 0 unless ? k n and T0,0 1. Denote by Tn Pnk =0 Tn,k. In this paper, we show asymptotic normality of give an formula Tn. As applications, many famous combinatorial numbers, such as Stirling numbers second kind, Whitney r-Stirling r-Whitney kind.
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ژورنال
عنوان ژورنال: Filomat
سال: 2023
ISSN: ['2406-0933', '0354-5180']
DOI: https://doi.org/10.2298/fil2309923g