Abstract
This paper provides methods to decide whether a given analytic function of several complex variables is a linear combination of finitely many given analytic functions with coefficients of the following special form: Each one of these coefficients is a composition of an unknown analytic function of less arguments than the function to be expressed, with fixed analytic functions. Methods which compute suitable coefficient functions in the affirmative case are presented as well.
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Plesken, W., Robertz, D. Linear Differential Elimination for Analytic Functions. Math.Comput.Sci. 4, 231–242 (2010). https://doi.org/10.1007/s11786-010-0053-2
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DOI: https://doi.org/10.1007/s11786-010-0053-2