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    On a Class of Combinatorial Sums Involving Generalized Factorials by W.-S. Chou, L. C. Hsu, P. J.-S. Shiue

    Published 2007-01-01
    “…The object of this paper is to show that generalized Stirling numbers can be effectively used to evaluate a class of combinatorial sums involving generalized factorials.…”
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    Asymptotic Estimates for r-Whitney Numbers of the Second Kind by Cristina B. Corcino, Roberto B. Corcino, Nestor Acala

    Published 2014-01-01
    “…The r-Whitney numbers of the second kind are a generalization of all the Stirling-type numbers of the second kind which are in line with the unified generalization of Hsu and Shuie. …”
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    A Note on q-Analogues of Degenerate Catalan-Daehee Numbers and Polynomials by Waseem A. Khan

    Published 2022-01-01
    “…By using their generating function, we derive some new relations including the degenerate Stirling numbers of the first and second kinds. Moreover, we also derive some new identities and properties of this type of polynomials and numbers.…”
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    The Zeros of the Bergman Kernel for Some Reinhardt Domains by Jong-Do Park

    Published 2016-01-01
    “…We express the explicit closed form of the Bergman kernel for Dn using the exponential generating function for the Stirling number of the second kind. As an application, we show that the Bergman kernel Kn for Dn has zeros if and only if n≥3. …”
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    Degenerate Poly-Lah-Bell Polynomials and Numbers by Taekyun Kim, Hye Kyung Kim

    Published 2022-01-01
    “…In addition, we obtain various algebraic identities including Lah numbers, the degenerate Stirling numbers of the first and second kind, the degenerate poly-Bell polynomials, the degenerate poly-Bernoulli numbers, and the degenerate poly-Genocchi numbers.…”
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    Degenerate r-Bell Polynomials Arising from Degenerate Normal Ordering by Taekyun Kim, Dae San Kim, Hye Kyung Kim

    Published 2022-01-01
    “…These are derived from the degenerate normal ordering of a degenerate integral power of the number operator in terms of boson operators where the degenerate r-Stirling numbers of the second kind appear as the coefficients.…”
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