Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2009, Number 3, Pages 64–69 (Mi basm238)  
This article is cited in 1 scientific paper (total 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
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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.
Received: 15.06.2009
Bibliographic databases:
Document Type: Article
MSC: 33B15, 57Q55, 15A15
Language: English
Citation: Cristinel Mortici, “A lower bound for a quotient of roots of factorials”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2009, no. 3, 64–69
Citation in format AMSBIB
\Bibitem{Mor09}
\by Cristinel~Mortici
\paper A lower bound for a~quotient of roots of factorials
\jour Bul. Acad. \c Stiin\c te Repub. Mold. Mat.
\yr 2009
\issue 3
\pages 64--69
\mathnet{http://mi.mathnet.ru/basm238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2643156}
\zmath{https://zbmath.org/?q=an:1213.33006}
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  • https://www.mathnet.ru/eng/basm/y2009/i3/p64
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
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