An umbral setting for cumulants and factorial moments
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Publication:820083
DOI10.1016/j.ejc.2004.12.001zbMath1085.05018arXivmath/0412052OpenAlexW2061499407MaRDI QIDQ820083
Domenico Senato, Elvira di Nardo
Publication date: 6 April 2006
Published in: European Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0412052
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Cites Work
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- Polynomials of binomial type and compound Poisson processes
- The umbral calculus
- On the combinatorics of cumulants
- A selected survey of umbral calculus
- Applications of the classical umbral calculus
- On the foundations of combinatorial theory. VIII: Finite operator calculus
- Cumulants of random sum distributions
- Coalgebras and Bialgebras in Combinatorics
- The Classical Umbral Calculus
- Combinatorics for Wavelets: The Umbral Refinement Equation
- The Number of Partitions of a Set
- The History of Blissard's Symbolic Method, with a Sketch of its Inventor's Life
- Postulational Bases for the Umbral Calculus
- Umbral presentations for polynomial sequences
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