| Title:
|
Conformal mapping of the halfplane onto a strip with variable width (English) |
| Author:
|
Hvoždara, Milan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
15 |
| Issue:
|
6 |
| Year:
|
1970 |
| Pages:
|
391-398 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| . |
| Category:
|
math |
| . |
| Summary:
|
By using Schwarz-Christoffel theorem the author deduces the conformal mapping of a halfplane onto an infinitely long strip whose one boundary id a straight line while the other one is a polygonal line consisting of two half lines parallel to the first boundary and connected by a segment whose slope angle is a fractional multiple of $\pi$. This mapping is expressed by means of elementary functions distinguishing the cases when $\pi$ is divided by odd or even integer; some important properties of this mapping are shown. () |
| MSC:
|
30C20 |
| idZBL:
|
Zbl 0206.36301 |
| idMR:
|
MR0279288 |
| DOI:
|
10.21136/AM.1970.103312 |
| . |
| Date available:
|
2008-05-20T17:49:05Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103312 |
| . |
| Reference:
|
[1] : Handbuch der Physik.(herausgeben von S. Flügge), Bd XVI, Springer-Verlag 1958, s. 76. Zbl 0103.16403, MR 0106010 |
| Reference:
|
[2] Mieczik J.: Rozklad pola tellurycznego nad uskokiem.Acta Geoph. Polon. 13, 1965, 257. |
| Reference:
|
[3] Gibbs W. J.: Conformal Transformations in Electrical Engineering.London 1958. Zbl 0084.07006 |
| Reference:
|
[4] Binns K. J., Lawrenson P. J.: Analysis and Computation of Electric and Magnetic Field Problems.Pergamon Press 1963. Zbl 0119.42901 |
| Reference:
|
[5] Филъчаков П. Ф.: Приближенные методы конформных отображений.Киев 1964, стр. 235. Zbl 1117.65300 |
| Reference:
|
[6] Градштейн И. С., Рыжик И. M.: Таблицы интегралов сумм рядов и произведений.Москва 1963, стр. 79. Zbl 1145.93303 |
| Reference:
|
[7] Говорков В. А.: Электрические и магнитные поля.Москва 1960, стр. 243. Zbl 1004.90500 |
| . |
