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A probabilistic interpretation of a sequence related to Narayana polynomials

Authors
  • Amdeberhan, T.
  • Moll, V. H.
  • Vignat, C.
Type
Preprint
Publication Date
Mar 20, 2012
Submission Date
Feb 06, 2012
Identifiers
arXiv ID: 1202.1203
Source
arXiv
License
Yellow
External links

Abstract

A sequence of coefficients appearing in a recurrence for the Narayana polynomials is generalized. The coefficients are given a probabilistic interpretation in terms of beta distributed random variables. The recurrence established by M. Lasalle is then obtained from a classical convolution identity. Some arithmetical properties of the generalized coefficients are also established.

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