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Bounds on Derivatives in Compositions of Two Rational Functions with Prescribed Poles
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math.CV
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functionsrationaldegreepolesboundsclasscompositionsderivatives
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This paper explores a class of rational functions r(s(z)) with degree mn, where s(z) is a polynomial of degree m. Inequalities are derived for rational functions with specified poles, extending and refining previous results in the eld.
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