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Meromorphic Functions That Share Four Values
| Content Provider | Scilit |
|---|---|
| Author | Gundersen, Gary G. |
| Copyright Year | 1983 |
| Description | An old theorem of ${\text {R}}$. Nevanlinna states that if two distinct nonconstant meromorphic functions share four values counting multiplicities, then the functions are Möbius transformations of each other, two of the shared values are Picard values for both functions, and the cross ratio of a particular permutation of the shared values equals -1. In this paper we show that if two nonconstant meromorphic functions share two values counting multiplicities and share two other values ignoring multiplicities, then the functions share all four values counting multiplicities. |
| Related Links | https://www.ams.org/tran/1983-277-02/S0002-9947-1983-0694375-0/S0002-9947-1983-0694375-0.pdf |
| Ending Page | 567 |
| Page Count | 23 |
| Starting Page | 545 |
| ISSN | 00029947 |
| e-ISSN | 10886850 |
| DOI | 10.2307/1999223 |
| Journal | Transactions of the American Mathematical Society |
| Issue Number | 2 |
| Volume Number | 277 |
| Language | English |
| Publisher | Duke University Press |
| Publisher Date | 1983-06-01 |
| Access Restriction | Open |
| Subject Keyword | Artificial Intelligence Functions Share Meromorphic Functions Share Four Four Values Nonconstant Meromorphic Picard Values Two Values Shared Values |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |
