A continuous analogue of lattice path enumeration: Part II

Abstract : Following the work of Cano and Díaz, we study continuous binomial coefficients andCatalan numbers. We explore their analytic properties, including integral identities and generaliza-tions of discrete convolutions. We also conduct an in-depth analysis of a continuous analogue of thebinomial distribution, including a stochastic representation as a Goldstein-Kac process.
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Contributor : Christophe Vignat <>
Submitted on : Monday, May 20, 2019 - 5:53:37 PM
Last modification on : Monday, July 8, 2019 - 10:24:23 AM

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  • HAL Id : hal-02134901, version 1
  • ARXIV : 1606.01986


Tanay Wakhare, Christophe Vignat. A continuous analogue of lattice path enumeration: Part II. Online Journal of Analytic Combinatorics, 2019. ⟨hal-02134901⟩



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