An asymptotic formula for \(r\)-Bell numbers with real arguments

DOI10.1155/2013/274697zbMath1283.11045OpenAlexW2065004188WikidataQ58994720 ScholiaQ58994720MaRDI QIDQ1952659

Roberto B. Corcino, Cristina B. Corcino

Publication date: 3 June 2013

Published in: ISRN Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/274697

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (8)

Solutions of neutral delay differential equations using a generalized Lambert \(W\) function ⋮ The estimation of the zeros of the Bell and \( r\)-Bell polynomials ⋮ On the generalization of the Lambert $W$ function ⋮ The noncentral version of the Whitney numbers: a comprehensive study ⋮ On the structure of the solution set of a generalized Euler-Lambert equation ⋮ Explicit solution of a Lotka-Sharpe-McKendrick system involving neutral delay differential equations using the \(r\)-Lambert \(W\) function ⋮ Параметрические модели случайных $r$-подстановок и $r$-разбиений и их вероятностно-статистический анализ ⋮ On the coefficients of power sums of arithmetic progressions

Cites Work

• A new formula for the Bernoulli polynomials
• On generalized Bell polynomials
• The \(r\)-Stirling numbers
• New properties of \(r\)-Stirling series
• On the maximum of \(r\)-Stirling numbers
• On Stirling Numbers for Complex Arguments and Hankel Contours
• ASYMPTOTIC ESTIMATES FOR GENERALIZED STIRLING NUMBERS
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