Geodesic
A lower bound for a~quotient of roots of factorials
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2009), pp. 64-69

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With the aid of asymptotic properties of polygamma functions a new lower bound is established for the quotient $\phi(r+1)/\phi(r)$ where $\phi(r)=(r!)^{1/r}$. 
@article{BASM_2009_3_a6,
     author = {Cristinel Mortici},
     title = {A lower bound for a~quotient of roots of factorials},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {64--69},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2009_3_a6/}
}
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Cristinel Mortici. A lower bound for a~quotient of roots of factorials. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2009), pp. 64-69. http://geodesic.mathdoc.fr/item/BASM_2009_3_a6/