On a generalization of a waiting time problem and some combinatorial identities

DOI10.1239/jap/1450802747zbMath1336.60012OpenAlexW2279025340MaRDI QIDQ2794719

Alia M. Magar, F. A. Shiha, Beih S. El-Desouky

Publication date: 11 March 2016

Published in: Journal of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jap/1450802747

zbMATH Keywords

generating functionwaiting timeStirling numbersymmetric polynomialharmonic number

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Combinatorial probability (60C05) Polynomials in number theory (11C08)

Cites Work

• Generalized higher order Stirling numbers
• On a connection between symmetric polynomials, generalized Stirling numbers and the Newton general divided difference interpolation polynomial.
• A generalization of a waiting time problem
• Sums of Powers of Integers
• The waiting time until first duplication
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