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Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients

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arxiv 1606.01476 v2 pith:Z3YA6QET submitted 2016-06-05 math-ph math.MP

S.Yu. Slavyanov , D.A. Satco , A.M. Ishkhanyan , T.A. Rotinyan This is my paper
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keywords apparentcoefficientsdifferentialequationspolynomialgenerationlinearordinary
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We discuss several examples of generating apparent singular points as a result of differentiating particular homogeneous linear ordinary differential equations with polynomial coefficients and formulate two general conjectures on the generation and removal of apparent singularities in arbitrary Fuchsian differential equations with polynomial coefficients. We consider a model problem in polymer physics.

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