Abstract
In this final chapter, we further explore the error term in the Second Main Theorem and the Logarithmic Derivative Lemma. In §7.1, we construct examples showing that in the general case, the error terms we have given in the previous chapters are essentially the best possible. In §7.2, we explain how by putting rather modest growth restrictions on the functions under consideration and by enlarging the exceptional set, the lower order terms in the error term can be further improved. Finally, in §7.3, we compute the precise form of the error term for some of the more familiar special functions.
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© 2001 Springer-Verlag Berlin Heidelberg
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Cherry, W., Ye, Z. (2001). More on the Error Term. In: Nevanlinna’s Theory of Value Distribution. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-12590-8_8
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DOI: https://doi.org/10.1007/978-3-662-12590-8_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08568-0
Online ISBN: 978-3-662-12590-8
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