Expansion of moments of the Smoluchowski equation

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Abstract
We derive a formal expansion in powers of t of the moments of the Smoluchowski equation in free space. The coefficients either are derived by an easily implemented recursion relation or can be expressed in terms of the functions appearing in the Smoluchowski equation and their derivatives. The formalism is shown to reproduce known exact results for several Smoluchowski equations with nonconstant coefficients.