Covering problems for functions n-fold symmetric and convex in the direction of the real axis
Artykuł w czasopiśmie
| Status: | |
| Autorzy: | Koczan Leopold, Zaprawa Paweł |
| Rok wydania: | 2012 |
| Wersja dokumentu: | Drukowana | Elektroniczna |
| Język: | angielski |
| Numer czasopisma: | 3 |
| Wolumen/Tom: | 219 |
| Strony: | 947 - 958 |
| Web of Science® Times Cited: | 2 |
| Scopus® Cytowania: | 2 |
| Bazy: | Web of Science | Scopus |
| Efekt badań statutowych | NIE |
| Materiał konferencyjny: | NIE |
| Publikacja OA: | NIE |
| Abstrakty: | angielski |
| Let F denote the class of all functions univalent in the unit disk and convex in the direction of the realaxis. In the paper we discuss the functions of the class F which are n-foldsymmetric, where n is positive even integer. For the class of such functions we find the Koebe set as well as the covering set, i.e. ⋂f∈Ff(Δ) and ⋃f∈Ff(Δ). Moreover, the Koebe constant and the covering constant are obtained. |
