Explicit estimates for Comtet numbers of the first kind
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Publication:2151612
DOI10.1016/j.cam.2022.114422zbMath1490.05017OpenAlexW4280596955MaRDI QIDQ2151612
Publication date: 5 July 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2022.114422
exponential distributionupper and lower boundsPoisson-binomial distribution\(r\)-Stirling numbers of the first kindComtet numbers of the first kind
Probability distributions: general theory (60E05) Combinatorial identities, bijective combinatorics (05A19)
Cites Work
- Generalized higher order Stirling numbers
- Several explicit formulae of Cauchy polynomials in terms of \(r\)-Stirling numbers
- Completely effective error bounds for Stirling numbers of the first and second kinds via Poisson approximation
- A new formula for the Bernoulli polynomials
- Binomial approximation to the Poisson binomial distribution
- The \(r\)-Stirling numbers
- Asymptotic expansions for the Stirling numbers of the first kind
- Probabilistic methods for obtaining asymptotic formulas for generalized Stirling numbers
- Restricted \(r\)-Stirling numbers and their combinatorial applications
- Jacobi-Stirling numbers, Jacobi polynomials, and the left-definite analysis of the classical Jacobi differential expression
- Differential calculus for linear operators represented by finite signed measures and applications
- Explicit expressions and integral representations for the Stirling numbers: a probabilistic approach
- Binomial Approximation to the Poisson Binomial Distribution: The Krawtchouk Expansion
- Asymptotic Estimates of Stirling Numbers
- Asymptotic Development of the Stirling Numbers of the First Kind
- ASYMPTOTIC ESTIMATES FOR GENERALIZED STIRLING NUMBERS
- New family of Whitney numbers
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