Sprugnoli, Renzo

Moments of reciprocals of binomial coefficients

J. Integer Seq. 14(7), Article 11.7.8, 14 p., electronic only (2011)

Summary

Summary: We consider the distribution defined by the reciprocals of binomial coefficients and compute the corresponding moments. We find recurrence relations and the relative ordinary generating functions, which we give explicitly for the first six moments $(m = 0, 1, \dots , 5)$. Finally we give asymptotic approximations of the moments and of related quantities.

Mathematics Subject Classification

60C05, 05A15, 62E15

Keywords/Phrases

inverse binomial distribution, moments, generating functions

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