A preserving property of a Bernardi type operator.
Acu, Mugur (2001)
General Mathematics
Acu, Mugur (2004)
General Mathematics
Acu, Mugur, Blezu, Dorin (2004)
Acta Universitatis Apulensis. Mathematics - Informatics
Acu, Mugur (2004)
General Mathematics
Karl-Joachim Wirths (2004)
Annales Polonici Mathematici
Let D denote the open unit disc and f:D → ℂ̅ be meromorphic and injective in D. We further assume that f has a simple pole at the point p ∈ (0,1) and an expansion , |z| < p. In particular, we consider f that map D onto a domain whose complement with respect to ℂ̅ 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 by Co(p). It is proved that for p ∈ (0,1) the domain of variability of the coefficient...
Obradović, Milutin (1989)
Publications de l'Institut Mathématique. Nouvelle Série
Aouf, M.K., Darwish, H.E., Attiya, A.A. (2000)
Mathematica Pannonica
S. Owa, L. Liu, Wancang Ma (1989)
Matematički Vesnik
Aouf, M.K., Darwish, H.E. (1996)
International Journal of Mathematics and Mathematical Sciences
Holoş, Amelia Anca, Holhoş, Viorel Cosmin (2004)
General Mathematics
Bappaditya Bhowmik, Karl-Joachim Wirths (2012)
Colloquium Mathematicae
We derive a sharp bound for the modulus of the Schwarzian derivative of concave univalent functions with opening angle at infinity less than or equal to πα, α ∈ [1,2].
Mostafa, A.O. (2009)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Polatoglu, Y., Bolcal, M., Sen, A., Yavuz, E. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
Alb Lupaş, Alina (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
Alb Lupaş, Alina (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
H. R. Abdel-Gawad, D. K. Thomas (1991)
Publications de l'Institut Mathématique
G. Murugusundaramoorthy, Kaliappan Vijaya, Ravinder Krishna Raina (2009)
Archivum Mathematicum
Making use of the Dziok-Srivastava operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc and are related to uniformly convex functions. We investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions.
Aouf, M.K., Shamandy, A., Mostafa, A.O., Madian, S.M. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
Salah, Jamal, Darus, Maslina (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
Murugusundaramoorthy, G., Rosy, Thomas, Darus, Maslina (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]