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Functions Typically-real and Meromorphic in the Unit Circle
| Content Provider | Semantic Scholar |
|---|---|
| Author | Goodman, A. W. |
| Copyright Year | 1956 |
| Abstract | This concept has been extended in several directions in [4; 6; 10; 11; 13; 161]. In the present paper we initiate the study of functions which are meromorphic in E but still satisfy the condition (1.2). To be precise we make the following definitions. A function f(z) which is meromorphic in E, and except at the poles satisfies the condition (1.2), is said to be meromorphic and typically-real in the unit circle. The class of such functions with Taylor series of the form (1.1) in a neighborhood of the origin will be denoted by TM, and the subclass of functions regular in E will be denoted by TR. The class of functions meromorphic and typically-real in E with a Laurent expansion about the origin of the form |
| Starting Page | 92 |
| Ending Page | 105 |
| Page Count | 14 |
| File Format | PDF HTM / HTML |
| DOI | 10.1090/S0002-9947-1956-0075299-2 |
| Alternate Webpage(s) | https://www.ams.org/journals/tran/1956-081-01/S0002-9947-1956-0075299-2/S0002-9947-1956-0075299-2.pdf |
| Alternate Webpage(s) | http://www.ams.org/journals/tran/1956-081-01/S0002-9947-1956-0075299-2/S0002-9947-1956-0075299-2.pdf |
| Alternate Webpage(s) | https://doi.org/10.1090/S0002-9947-1956-0075299-2 |
| Volume Number | 81 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
