Factorials and Stirling numbers in the algebra of formal Laurent series. II: \(z^ a - z^ b=t\)

DOI10.1016/0012-365X(94)90238-0zbMath0805.05006OpenAlexW2294731123MaRDI QIDQ1336661

Heinrich Niederhausen

Publication date: 26 January 1995

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

Full work available at URL: https://doi.org/10.1016/0012-365x(94)90238-0

zbMATH Keywords

Stirling numbersumbral calculusBernoulli polynomialsformal seriesfactorialsbinomial seriesCatalan seriesdouble sum of powers

Mathematics Subject Classification ID

Umbral calculus (05A40) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65)

Cites Work

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• Sequences of binomial type with polynomial coefficients
• Zur Theorie und Anwendung Bernoulli-Nörlundscher Polynome und gewisser Verallgemeinerungen der Bernoullischen und der Stirlingschen Zahlen
• The algebra for formal series. II: Sheffer sequences
• Factorials and Stirling numbers in the algebra of formal Laurent series
• The umbral calculus
• Non-central Stirling numbers and some applications
• Recursive matrices and umbral calculus
• On the foundations of combinatorial theory. VIII: Finite operator calculus
• Interpolation and Combinatorial Functions
• Review of the stirling numbers, their generalizations and Statistical Applications
• Central factorial numbers; their main properties and some applications.

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