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of an author that received h or more citations. The main drawback of the h index of an author is that it does not count citations received by h papers with citations l n > h and ( n − h ) papers having citations l n < h. Here l n

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decay. The decay process of items is usually explained (Avramescu 1979 ; Gupta 1990 ; Egghe et al. 1995 ) by using decreasing exponential functions. For the dependence of citations L of individual articles on time t , Avramescu ( 1979

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cumulative papers N , cumulative citations L i of an individual paper i and cumulative citations L sum of all papers of an author. The former two cases are examples of individual systems, whereas the last one is an example of a collective of systems

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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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