Abstract
We use the usual notation of the Nevanlinna theory. The following result is mentioned but not proved in [2]: There exists an absolute constant Q > 1 such that
for any transcendental entire function f. Now we give a numerical estimate for the constant Q. We prove that if f is a transcendental entire function then
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References
HAYMAN, W.K.: Meromorphic functions. Clarendon Press, Oxford 1964.
TOPPILA, S.: ‘On Nevanlinna’s proximity function’, Commentationes in memoriam Rolf Nevanlinna, Ann. Acad. Sci. Fenn. Ser. A I Math. 7 (1982), 59–64.
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© 1989 Kluwer Academic Publishers
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Ławrynowicz, J., Toppila, S. (1989). On the Connection between the Nevanlinna Characteristics of an Entire Function and of its Derivative. In: Ławrynowicz, J. (eds) Deformations of Mathematical Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2643-1_5
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DOI: https://doi.org/10.1007/978-94-009-2643-1_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7693-7
Online ISBN: 978-94-009-2643-1
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