A generalization of the Stirling numbers

DOI10.1016/0012-365X(92)90318-AzbMath0769.05005arXivmath/9502217MaRDI QIDQ1195477

Daniel E. Loeb

Publication date: 6 December 1992

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

Full work available at URL: https://arxiv.org/abs/math/9502217

zbMATH Keywords

Stirling numbers

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Symmetric functions and generalizations (05E05)

Related Items (14)

Stirling number representations ⋮ Asymptotics for Morgan numbers of fractional orders ⋮ An automorphic generalization of the Stirling numbers ⋮ Integral representations and properties of Stirling numbers of the first kind ⋮ Dickson–Stirling numbers ⋮ Series with general exponents ⋮ The iterated logarithmic algebra ⋮ Sets with a negative number of elements ⋮ A generalization of the binomial coefficients ⋮ The group of generalized Stirling numbers ⋮ Stirling Functions of the Second Kind in the Setting of Difference and Fractional Calculus ⋮ The complementary symmetric functions: Connection constants using negative sets ⋮ Some binomial formulas of the generalized Appell form ⋮ Partial-fraction decomposition of a rational function and its application

Cites Work

• Factorial functions and Stirling numbers of fractional orders
• Umbral calculus and special functions
• The iterated logarithmic algebra. II: Sheffer sequences
• The iterated logarithmic algebra
• Sets with a negative number of elements
• A generalization of the binomial coefficients
• Formal power series of logarithmic type
• Review of the stirling numbers, their generalizations and Statistical Applications
• Unnamed Item

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