On approximate Euler differential equations (Q1035064)

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scientific article; zbMATH DE number 5627601
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On approximate Euler differential equations
scientific article; zbMATH DE number 5627601

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    On approximate Euler differential equations (English)
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    10 November 2009
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    Summary: We solve the inhomogeneous Euler differential equations of the form \(x^2y''(x)+ \alpha xy'(x)+ \beta y(x)= \sum_{m=0}^\infty a_m x^m\) and apply this result to the approximation of analytic functions of a special type by the solutions of Euler differential equations.
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