Enumeration by kernel positions
DOI10.1016/j.aam.2008.11.001zbMath1169.05302OpenAlexW2016196182MaRDI QIDQ1015168
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Publication date: 7 May 2009
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aam.2008.11.001
generating functionsBernoulli polynomialsdigamma functionenumerative combinatoricsdegenerate Bernoulli numbersEuler's \(C\) constantkernel positionNewton expansionprogressively finite games
Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) 2-person games (91A05) Bernoulli and Euler numbers and polynomials (11B68) Combinatorial games (91A46) Probabilistic games; gambling (91A60)
Related Items (7)
Uses Software
Cites Work
- Structure of the Malvenuto-Reutenauer Hopf algebra of permutations
- A degenerate Staudt-Clausen theorem
- Degenerate Bernoulli polynomials, generalized factorial sums, and their applications
- Explicit formulas for degenerate Bernoulli numbers
- Degenerate and \(n\)-adic versions of Kummer's congruences for values of Bernoulli polynomials
- A finite difference approach to degenerate Bernoulli and Stirling polynomials
- Duality between quasi-symmetric functions and the Solomon descent algebra
- The Cauchy numbers
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