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Transformation of series. (English) Zbl 0742.40004

A method for convenient evaluation of analytic functions is introduced. It is based on using polynomials which have been used to represent nonlinearities in differential equations and partial differential equations in the decomposition method. Several illustrating examples are given.

MSC:

40A99 Convergence and divergence of infinite limiting processes
30B99 Series expansions of functions of one complex variable
Full Text: DOI

References:

[1] Adomian, G., A review of the decomposition method and some recent results for nonlinear Equations, Comp. and Math. with Applic., 13, 7, 17-43 (1990) · Zbl 0713.65051
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