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Uniformisation of the twice–punctured disc - problems of confluence
| Content Provider | Scilit |
|---|---|
| Author | Hempel, Joachim A. Smith, Simon J. |
| Copyright Year | 1989 |
| Description | For the twice-punctured unit disc $Ω_{p}$ = {z: |z| < 1, z ≠ ±p}, where 0 < p < 1, we obtain precise descriptions for p near 0 of various parameters associated with the uniformisation of $Ω_{p}$ by the upper half-plane U = {τ: Im τ > 0}. These parameters include the hyperbolic length of the geodesic surrounding ±p, the so-called “accessory parameters”, and the “proximity parameter” which determines the behaviour of the hyperbolic density near the punctures of $Ω_{p}$. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/003B99E3B37FDC0C07367CC407D77EC3/S0004972700003294a.pdf/div-class-title-uniformisation-of-the-twice-punctured-disc-problems-of-confluence-div.pdf |
| Ending Page | 387 |
| Page Count | 19 |
| Starting Page | 369 |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972700003294 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 3 |
| Volume Number | 39 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1989-06-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society History and Philosophy of Science Hyperbolic Length Hyperbolic Density Parameters Include Punctured Disc Punctured Unit |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
