Abstract
In this article we study some properties concerning the Hal (Hkn ) and Lah numbers (Lkn), which are those that arise in the theory of combinatorics in association with the ‘upward and downward factorial polynomials’ [x]n and [x]n.
We establish the corresponding recurrence formulas, the generating functions and the closed formulas for this family of numbers, among others properties.
References
Berge, C. (1971) Principles of Combinatorics. Academic Press, New York.
Piza, E. (2001) Introducción a la Combinatoria. Editorial de la Sociedad Matemática Mexicana, México D.F.
Riordan, J. (1958) An Introducction to Combinatorial Analysis. John Wiley & Sons, New York.
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