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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(online) ISSN 0273-0979(print)

 

On the oscillation theory of $f'' + Af = 0$ where $A$ is entire


Authors: Steven B. Bank and Ilpo Laine
Journal: Bull. Amer. Math. Soc. 6 (1982), 95-98
MSC (1980): Primary 34A20, 30D35; Secondary 34C10, 34A30
MathSciNet review: 634440
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  • 1. Steven Bank and Ilpo Laine, On the growth of meromorphic solutions of linear and algebraic differential equations, Math. Scand. 40 (1977), no. 1, 119–126. MR 0454109 (56 #12360)
  • 2. P. D. Barry, On a theorem of Besicovitch, Quart. J. Math. Oxford Ser. (2) 14 (1963), 293–302. MR 0156993 (28 #234)
  • 3. W. K. Hayman, Meromorphic functions, Oxford Mathematical Monographs, Clarendon Press, Oxford, 1964. MR 0164038 (29 #1337)
  • 4. W. K. Hayman, Picard values of meromorphic functions and their derivatives, Ann. of Math. (2) 70 (1959), 9–42. MR 0110807 (22 #1675)
  • 5. G. Valiron, Lectures on the general theory of integral functions, Chelsea, New York, 1949.
  • 6. Hans Wittich, Eindeutige Lösungen der Differentialgleichung 𝑤′=𝑅(𝑧,𝑤), Math. Z. 74 (1960), 278–288 (German). MR 0120413 (22 #11167)
  • 7. Hans Wittich, Neuere Untersuchungen über eindeutige analytische Funktionen, Ergebnisse der Mathematik und ihrer Grenzgebiete (N.F.), Heft 8, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1955 (German). MR 0077620 (17,1067a)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0273-0979-1982-14975-8
PII: S 0273-0979(1982)14975-8