An annular function which is the sum of two normal functions
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- by Peter Lappan PDF
- Proc. Amer. Math. Soc. 44 (1974), 403-408 Request permission
Abstract:
It is known that a nonconstant normal function cannot have a Koebe value. An example is presented of an annular function which is the sum of two normal holomorphic functions. This example shows that a sum of two normal functions can result in a nonconstant function which has the Koebe value $\infty$.References
- F. Bagemihl and W. Seidel, Koebe arcs and Fatou points of normal functions, Comment. Math. Helv. 36 (1961), 9–18. MR 141786, DOI 10.1007/BF02566888
- Peter Lappan, Non-normal sums and products of unbounded normal functions, Michigan Math. J. 8 (1961), 187–192. MR 131554
- Peter Lappan, Some results on a class of holomorphic functions, Comment. Math. Univ. St. Paul. 18 (1970), 119–124. MR 284585
- G. R. MacLane, Asymptotic values of holomorphic functions, Rice Univ. Stud. 49 (1963), no. 1, 83. MR 148923
Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 44 (1974), 403-408
- MSC: Primary 30A72
- DOI: https://doi.org/10.1090/S0002-9939-1974-0374436-6
- MathSciNet review: 0374436