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IMI/Publicaţii/BASM/Ediţii/BASM n.3 (61), 2009/

A lower bound for a quotient of roots of factorials.

Authors: Cristinel Mortici

Abstract

With the aid of asymptotic properties of polygamma functions a new lower bound is established for the quotient φ(r+1)/&phi(r) where φ(r)=(r!)1/r.

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