An informetric model for the Hirsch-index
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- Egghe, L. & Rousseau, R. Scientometrics (2006) 69: 121. doi:10.1007/s11192-006-0143-8
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The h-index (or Hirsch-index) was defined by Hirsch in 2005 as the number h such that, for a general group of papers, h papers received at least h citations while the other papers received no more than h citations. This definition is extended here to the general framework of Information Production Processes (IPPs), using a source-item terminology. It is further shown that in each practical situation an IPP always has a unique h-index. In Lotkaian systems h = T1/a, where T is the total number of sources and α is the Lotka exponent. The relation between h and the total number of items is highlighted.