Lattice Paths and Negatively Indexed Weight-Dependent Binomial Coefficients

In 1992, Loeb (Adv Math, 91:64–74, 1992) considered a natural extension of the binomial coefficients to negative entries and gave a combinatorial interpretation in terms of hybrid sets. He showed that many of the fundamental properties of binomial coefficients continue to hold in this extended setti...

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Veröffentlicht in:	Annals of combinatorics 2023-12, Vol.27 (4), p.917-955
Hauptverfasser:	Küstner, Josef, Schlosser, Michael J., Yoo, Meesue
Format:	Artikel
Sprache:	eng
Schlagworte:	Binomial coefficients Combinatorial analysis Combinatorics Integers Mathematical analysis Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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