|
This article is cited in 2 scientific papers (total in 2 papers)
Asymptotic values of functions, analytic in planar domain
E. G. Ganenkova, V. V. Starkov Petrozavodsk State University, Faculty of Mathematics
Abstract:
In [1] W. Gross constructed the example of an entire function of infinite order whose set of asymptotic values is equal to the extended complex plain. We obtain an analog of Gross' result for functions, analytic in planar domains of arbitrary connectivity with isolated boundary fragment.
Keywords:
analytic function; asymptotic value; isolated boundary fragment.
Received: 25.05.2013
Citation:
E. G. Ganenkova, V. V. Starkov, “Asymptotic values of functions, analytic in planar domain”, Probl. Anal. Issues Anal., 2(20):1 (2013), 38–42
Linking options:
https://www.mathnet.ru/eng/pa3 https://www.mathnet.ru/eng/pa/v20/i1/p38
|
Statistics & downloads: |
Abstract page: | 259 | Full-text PDF : | 72 | References: | 41 |
|