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%A Mannella, Riccardo & Rossi, Paolo
%D 2012
%T On the time dependence of the $h$-index
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%2 On the time dependence of the $h$-index
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%F mannella2012dependence
%K time, scientometrics, hindex
%X The time dependence of the $h$-index is analyzed by considering the average
behaviour of $h$ as a function of the academic age $A_A$ for about 1400 Italian
physicists, with career lengths spanning from 3 to 46 years. The individual
$h$-index is strongly correlated with the square root of the total citations
$N_C$: $h \approx 0.53 \sqrt{N_C}$. For academic ages ranging from 12 to 24
years, the distribution of the time scaled index $h/\sqrt{A_A}$ is
approximately time-independent and it is well described by the Gompertz
function. The time scaled index $h/\sqrt{A_A}$ has an average approximately
equal to 3.8 and a standard deviation approximately equal to 1.6. Finally, the
time scaled index $h/\sqrt{A_A}$ appears to be strongly correlated with the
contemporary $h$-index $h_c$.
%Z cite arxiv:1207.3499
%U http://arxiv.org/abs/1207.3499
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