Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In the class Co(p), p ∈ (0,1) of univalent concave functions with a pole at p we find some estimates on the third coefficient as well as the residuum of a function, while its second coefficient is fixed.
Czasopismo
Rocznik
Tom
Strony
109--116
Opis fizyczny
Bibliogr. 8 poz., wykr.
Twórcy
autor
- Departament of Applied Mathematics, Lublin University of Technology, Nadbystrzycka 38D, 20-618 Lublin, Poland, p.zaprawa@pollub.pl
Bibliografia
- [1] Avkhadiev F.G., Pommerenke Ch., Wirths K.J., On the coefficients of concave univalent functions. Math. Nachr. 271, 3-9 (2004).
- [2] Avkhadiev F.G., Pommerenke Ch., Wirths K.J., Sharp inegualities for the coefficients of concave schlicht functions. Cumment. Math. Helv. 81, 801-807 (2006).
- [3] Avkhadiev F.G., Wirths K.J., A proof of the Livingstone conjecture. Forum Math. 19, 149-157 (2007).
- [4] Livingstone A.E., Convex meromorphic functions. Ann. Poi. Math. 59, No.3, 275-291 (1994).
- [5] Miller J., Convex and starlike meromorphic functions. Proc. Am. Math. Soc. 80, 607-613 (1980).
- [6] Privalov I.L, Introduction to the Theory of Functions of a Complex Variable, GITTL, Moscow-Leningrad, 1948.
- [7] Wirths K.J., A proof of the Livingston conjecture for the fourth and the fifth coefficient of concave univalent functions Ann. Poi. Math. 83, 87-93 (2004).
- [8] Wirths K.J., On the residuum of concave univalent functions. Serdica Math. J. 32, 209-214 (2006).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-PWA7-0039-0024