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math.NT2012★ 10 cited
A probabilistic interpretation of a sequence related to Narayana polynomials
T. Amdeberhan, V. H. Moll, C. Vignat
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 distrib…
math.NT2010
The action of Hecke operators on hypergeometric functions
Victor H. Moll, Sinai Robins, Kirk Soodhalter
We study the action of the Hecke operators Un on the set of hy- pergeometric functions, as well as on formal power series. We show that the spectrum of these operators on the set o…