Characterizations of the generalized Wu- and Kosmulski-indices in Lotkaian systems

We define the generalized Wuand Kosmulski-indices, allowing for general parameters of multiplication or exponentiation. We then present formulae for these generalized indices in a Lotkaian framework. Next we characterise these indices in terms of their dependence on the quotient of the average number of items per source in the m -core divided by the overall average ( m is any generalized Wuor Kosmulski-index). As a consequence of these results we show that the fraction of used items (used in the definition of m ) in the m -core is independent of the parameter and equals one divided by the overall average. (*) Permanent address