On the differences of the generalized factorials at an arbitrary point and their combinatorial applications

DOI10.1016/0012-365X(83)90089-4zbMath0539.05009MaRDI QIDQ793734

Markos V. Koutras, Charalambos A. Charalambides

Publication date: 1983

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

zbMATH Keywords

generating functionrecurrence relationcombinatorial interpretationsGould-Hopper numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A class of polynomials and a generalization of Stirling numbers
• Operational formulas connected with two generalizations of Hermite polynomials
• On minimum variance unbiased estimation for truncated binomial and negative binomial distributions
• The asymptotic normality of certain combinatorial distributions
• Non-central Stirling numbers and some applications
• On a restricted occupancy model and its applications
• A New Kind of Numbers Appearing in the n-Fold Convolution of Truncated Binomial and Negative Binomial Distributions
• Some Properties and Applications of the Differences of the Generalized Factorials

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