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JOURNALS // Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica // Archive

Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009 Number 3, Pages 64–69 (Mi basm238)

This article is cited in 1 paper

Research articles

A lower bound for a quotient of roots of factorials

Cristinel Mortici

Valahia University of Tâgrovişte, Department of Mathematics, Tâgrovişte, Romania

Abstract: With the aid of asymptotic properties of polygamma functions a new lower bound is established for the quotient $\phi(r+1)/\phi(r)$ where $\phi(r)=(r!)^{1/r}$.

Keywords and phrases: gamma function, polygamma function, factorial function, complete monotonicity, approximations, permanent, $(0,1)$-matrix.

MSC: 33B15, 57Q55, 15A15

Received: 15.06.2009

Language: English



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