A general theorem concerning the growth of solutions of first-order algebraic differential equations

Steven B. Bank

Compositio Mathematica (1972)

  • Volume: 25, Issue: 1, page 61-70
  • ISSN: 0010-437X

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Bank, Steven B.. "A general theorem concerning the growth of solutions of first-order algebraic differential equations." Compositio Mathematica 25.1 (1972): 61-70. <http://eudml.org/doc/89129>.

@article{Bank1972,
author = {Bank, Steven B.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {61-70},
publisher = {Wolters-Noordhoff Publishing},
title = {A general theorem concerning the growth of solutions of first-order algebraic differential equations},
url = {http://eudml.org/doc/89129},
volume = {25},
year = {1972},
}

TY - JOUR
AU - Bank, Steven B.
TI - A general theorem concerning the growth of solutions of first-order algebraic differential equations
JO - Compositio Mathematica
PY - 1972
PB - Wolters-Noordhoff Publishing
VL - 25
IS - 1
SP - 61
EP - 70
LA - eng
UR - http://eudml.org/doc/89129
ER -

References

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  1. S. Bank [1] On the growth of solutions of algebraic differential equations whose coefficients are arbitrary entire functions, Nagoya Math. J.39 (1970), 107-117. Zbl0201.11502MR268456
  2. [2] A result concerning meromorphic solutions in the unit disk of algebraic differential equations, Compositio Math.22 (1970), 367-381. Zbl0209.11501MR280767
  3. [3] A note on algebraic differential equations whose coefficients are entire functions of finite order. (To appear). 
  4. O. Blumenthal [4] Principes de la théorie des fonctions entières d'ordre infini, Gauthier-Villars, Paris, 1910. JFM41.0462.01
  5. W. Hayman [5] Picard values of meromorphic functions and their derivatives, Ann. of Math.70 (1959), 9-42. Zbl0088.28505MR110807
  6. R. Nevanlinna [6] Le théorème de Picard-Borel et la théorie des fonctions méromorphes, Gauthier-Villars, Paris, 1929. Zbl0357.30019JFM55.0773.03
  7. [7] Analytic functions, Springer-Verlag, New York, 1970 (Engl. Transl.) Zbl0199.12501MR279280
  8. S. Saks AND A. Zygmund [8] Analytic functions, Monografie Mat. (Engl. Transl.), Tom. 28, Warsaw, 1952. Zbl0048.30803MR55432
  9. M. Tsuji [9] Canonical product for a meromorphic function in a unit circle, J. Math. Soc. Japan8 (1956), 7-21. Zbl0071.28801MR103273
  10. G. Valiron [10] Sur les fonctions entières verifiant une classe d'équations différentielles, Bull. Soc. Math. France, 51 (1923), 33-45. Zbl49.0216.02MR1504822JFM49.0216.02
  11. [11] Fonctions analytiques et équations différentielles, J. Math. Pures et appl.31 (1952), 292-303. Zbl0047.31003MR51915

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