Continuous Analogues for the Binomial Coefficients and the Catalan Numbers

Abstract

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.

References in corpus (2)

• Indirect Influences on Directed Manifolds
• On the stability of the PWP method

Cited by in corpus (5)

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