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On meromorphic solutions of first-order differential equations

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Commentarii Mathematici Helvetici

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Bibliography

  1. Gol'dberg, A. A.,On single-valued solutions of first-order differential equations, Ukrain. Mat. Z.,8 (1956), 254–261, (Russian).

    MATH  MathSciNet  Google Scholar 

  2. Hayman, W. K.,Meromorphic Functions, Oxford Math. Monographs, Clarendon Press, Oxford, 1964.

    MATH  Google Scholar 

  3. Nevanlinna, R.,Eindeutige analytische Funktionen, 2nd ed., Springer-Verlag, Berlin, 1953.

    MATH  Google Scholar 

  4. Nevanlinna, R.,Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Gauthier-Villars, Paris, 1929.

    MATH  Google Scholar 

  5. Polya, G.,Zur Untersuchung der Grössenordnung ganzer Functionen, die einer Differential-gleichung genügen, Acta Math.42 (1920), 309–316.

    Article  Google Scholar 

  6. Saks, S. andZygmund, A.,Analytic Functions, Monografie Mat., Tom 28 (Engl. transl.), Warsaw, 1952).

  7. Strelitz, Sh.,Asymptotic Properties of Analytic Solutions of Differential Equations, Vilnius, 1972, (Russian).

  8. Valiron, G.,Sur les fonctions entières vérifiant une class d'équations différentielles, Bull. Soc. Math. France,51 (1923), 33–45.

    MathSciNet  Google Scholar 

  9. -Valiron, G.,Fonctions Analytiques, Presses Universitaires de France, Paris, 1954.

    MATH  Google Scholar 

  10. Wittich, H.,Neuere Untersuchungen über eindeutige analytische Functionen, Ergebnisse der Mathematik, Heft 8, Springer-Verlag, Berlin, 1955.

    Google Scholar 

  11. Zimogljad, V. V.,On the order of growth of transcendental entire solutions of algebraic differential equations of second order, Mat. Sb.85 (127), 1971, 286–302 (Russian) (Engl. transl., Math. USSR Sb.14 (1971), 281–296).

    MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, University of Illinois at Urbana-Champaign, 61801, Urbana, Illinois, USA

    Steven B. Bank & Robert P. Kaufman

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  1. Steven B. Bank
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  2. Robert P. Kaufman
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Bank, S.B., Kaufman, R.P. On meromorphic solutions of first-order differential equations. Commentarii Mathematici Helvetici 51, 289–299 (1976). https://doi.org/10.1007/BF02568158

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  • DOI: https://doi.org/10.1007/BF02568158

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