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, is related to the square-root of the ratio of citation acceleration a to the Hirsch constant A . The citation acceleration a and the Hirsch constant A are related to the total number of citations L given by Eqs. 2 and 1 , respectively. We

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1 where the empirical proportionality constant A , called Hirsch constant hereafter, lies in a wide range. The main problem with the h index is that it underestimates the ranking of scientists publishing papers receiving very high citations and

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