Abstract
The Two Constant Theorem. Suppose that f is holomorphic in \( \mathbb{D} = \{ z:|z| < 1\} \) and continuous in \( \bar{\mathbb{D}}\backslash \{ 1\} \). Suppose further that |f| le; N in \( \mathbb{D} \) and |f| le; M in \( \partial \mathbb{D}\backslash \{ 1\} \). Then |f| le; M in \( \bar{\mathbb{D}}\backslash \{ 1\} \).
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© 1996 Springer Science+Business Media New York
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Rubel, L.A., Colliander, J.E. (1996). “Two Constant” Theorems and the Phragmén-Lindelöf Theorems. In: Entire and Meromorphic Functions. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0735-1_19
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DOI: https://doi.org/10.1007/978-1-4612-0735-1_19
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94510-1
Online ISBN: 978-1-4612-0735-1
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