A Probabilistic Interpretation of a Sequence Related to Narayana Polynomials

نویسندگان

  • TEWODROS AMDEBERHAN
  • VICTOR H. MOLL
  • C. VIGNAT
چکیده

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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تاریخ انتشار 2012