On the radius of univalence of bounded functions
Hassoon S. Al-Amiri (1972)
Colloquium Mathematicae
Hassoon S. Al-Amiri (1973)
Colloquium Mathematicae
Noor, Khalida I., Aloboudi, Fatima M., Aldihan, Naeela (1983)
International Journal of Mathematics and Mathematical Sciences
Yûsaku Komatu (1985)
Annales Polonici Mathematici
Y. Komatu (1987)
Matematički Vesnik
Goluzina, E.G. (2005)
Zapiski Nauchnykh Seminarov POMI
Wirths, K.-J. (2006)
Serdica Mathematical Journal
2000 Mathematics Subject Classification: 30C25, 30C45.Let D denote the open unit disc and f:D→[`C] be meromorphic and injective in D. We further assume that f has a simple pole at the point p О (0,1) and is normalized by f(0) = 0 and f′(0) = 1. In particular, we are concerned with f that map D onto a domain whose complement with respect to [`C] is convex. Because of the shape of f(D) these functions will be called concave univalent functions with pole p and the family of these functions is denoted...
Goluzina, E.G. (2004)
Zapiski Nauchnykh Seminarov POMI
Chen, Keying (2001)
International Journal of Mathematics and Mathematical Sciences
Nunokawa, Mamoru, Owa, Shigeyoshi, Ikeda, Akira (2001)
International Journal of Mathematics and Mathematical Sciences
Yalçin, Sibel, Öztürk, Metin, Yamankaradeniz, Mümin (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Shanmugam, T.N., Sivasubramanian, S., Murugusundaramoorthy, G. (2007)
General Mathematics
Breaz, Daniel, Güney, H.Özlem (2008)
Journal of Inequalities and Applications [electronic only]
S.K. Bajpai (1975)
Publications de l'Institut Mathématique [Elektronische Ressource]
Pescar, Virgil (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
Pescar, Virgil (2006)
General Mathematics
Mingsheng, Liu (2002)
International Journal of Mathematics and Mathematical Sciences
Wang, Zhi-Gang, Gao, Chun-Yi, Yuan, Shao-Mou (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
J. Śladkowska (1996)
Annales Polonici Mathematici
The paper is devoted to a class of functions analytic, univalent, bounded and non-vanishing in the unit disk and in addition, symmetric with respect to the real axis. Variational formulas are derived and, as applications, estimates are given of the first and second coefficients in the considered class of functions.
Kiryakova, Virginia (2006)
Fractional Calculus and Applied Analysis
2000 Mathematics Subject Classification: Primary 26A33, 30C45; Secondary 33A35Recently, many papers in the theory of univalent functions have been devoted to mapping and characterization properties of various linear integral or integro-differential operators in the class S (of normalized analytic and univalent functions in the open unit disk U), and in its subclasses (as the classes S∗ of the starlike functions and K of the convex functions in U). Among these operators, two operators introduced...