Continous analogues for the binomial coefficients and the Catalan numbers
2019 ◽
Vol 13
(2)
◽
pp. 542-568
Keyword(s):
Using techniques from the theories of convex polytopes, lattice paths, and indirect influences on directed manifolds, we construct continuous analogues for the binomial coefficients and the Catalan numbers. Our approach for constructing these analogues can be applied to a wide variety of combinatorial sequences. As an application we develop a continuous analogue for the binomial distribution.
2016 ◽
Vol 60
(2)
◽
pp. 527-543
2012 ◽
Vol 93
(1-2)
◽
pp. 189-201
◽
2010 ◽
Vol 53
(9)
◽
pp. 2473-2488
◽
2015 ◽
Vol DMTCS Proceedings, 27th...
(Proceedings)
◽
2016 ◽
Vol 12
(08)
◽
pp. 2125-2145
Keyword(s):
2007 ◽
Vol 18
(1)
◽
pp. 23-37
◽