Asymptotic values of normal light interior functions defined in the unit disk
Author:
J. H. Mathews
Journal:
Proc. Amer. Math. Soc. 24 (1970), 691-695
MSC:
Primary 30.80
DOI:
https://doi.org/10.1090/S0002-9939-1970-0254255-8
MathSciNet review:
0254255
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Abstract | References | Similar Articles | Additional Information
Abstract: Lehto and Virtanen have extended Lindelöf’s theorem for the class of normal meromorphic functions. It is shown that Lindelöf’s theorem cannot be extended for the class of bounded normal light interior functions. A generalization of Lindelöf’s theorem is given.
- Peter Lappan, Some results on harmonic normal functions, Math. Z. 90 (1965), 155–159. MR 209499, DOI https://doi.org/10.1007/BF01112241
- Olli Lehto and K. I. Virtanen, Boundary behaviour and normal meromorphic functions, Acta Math. 97 (1957), 47–65. MR 87746, DOI https://doi.org/10.1007/BF02392392
- A. J. Lohwater and G. Piranian, The boundary behavior of functions analytic in a disk, Ann. Acad. Sci. Fenn. Ser. A. I. 1957 (1957), no. 239, 17. MR 91342 J. Mathews, Normal light interior functions defined in the unit disk, Nagoya Math. J. (to appear).
- Akira Mori, On quasi-conformality and pseudo-analyticity, Trans. Amer. Math. Soc. 84 (1957), 56–77. MR 83024, DOI https://doi.org/10.1090/S0002-9947-1957-0083024-5
- Jussi Väisälä, On normal quasiconformal functions, Ann. Acad. Sci. Fenn. Ser. A. I. 266 (1959), 33. MR 105505
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Additional Information
Keywords:
Light interior function,
normal function,
angular limit,
asymptotic value
Article copyright:
© Copyright 1970
American Mathematical Society