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The function g(r,t) = p(r+q)^(-{\beta}). e^(kt) is introduced as a basicinformetric function describing the classical informetric laws (through itsMandelbrot part) and a time evolution. It is shown that this function is asolution of a wave-type and of a heat-type partial differential equation. It issuggested that our approach may lead to a description of informetrics in apartial differential equation setting, formally similar to that for well-knownphysical laws.

A unified model for informetrics based on the wave and heat equations