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THE PADé TABLES AND CONTINUED FRACTIONS GENERATED
SOME INTEGRABILITY THEOREMS FOR Power SERIES witH POSITIVE
COMPLETELY INVARIANT DOMAINS OF ENTIRE FUNCTIONS
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A. J. Macintyre Amer analytic functions asymptotic values bounded circle of convergence coefficients completes the proof condition consider convex Corollary deduce defined denote Department of Mathematics domain entire function equation exists fe ºf finite asymptotic value follows function f(z given Hadamard product Hence holds implies inequality integers integral functions J. E. Littlewood Lemma Let f(z Let fe lim sup linear log M(r London Math losſ maps meromorphic functions minimum modulus O(log obtain Padé Padé table Phragmén-Lindelöf theorem Pólya polynomial positive number positive upper density power series Proc proof of Theorem real axis regular result Riemann surface satisfies Section sequence ſº starlike ſtp suppose Taylor series tend to infinity terms from integers theory transcendental unit disk univalent upper density virtually isolated singularity z e Q zero