Fast Lagrange inversion, with an application to factorial numbers

DOI10.1016/0012-365X(92)90628-SzbMath0806.05003MaRDI QIDQ1197008

Heinrich Niederhausen

Publication date: 16 January 1993

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

zbMATH Keywords

Stirling numbersLagrange inversioncoefficientmultivariate seriesinvertible power seriesfactorial numbersinverse formal power series

Mathematics Subject Classification ID

Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10)

Related Items (1)

The enumeration of integer sequences with a given number of colored records

Cites Work

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• Higher dimensional recursive matrices and diagonal delta sets of series
• Sequences of binomial type with polynomial coefficients
• Dual operators and Lagrange inversion in several variables
• A short proof of the Lagrange-Good formula
• On a dual relation for addition formulas of additive groups, I
• On a dual relation for addition formulas of additive groups II
• Central factorial numbers; their main properties and some applications.

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