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New properties of some families of holomorphic functions of several complex variables

Leś-Bomba E., Liczberski P.

Demonstratio Mathematica

2009

Vol. 42, nr 3

491-503

The paper concerns holomorphic functions in complete bounded n-circular domains of the space Cn and presents some properties of the above mentioned functions belonging to the families described by some geometrical or analytical conditions. This subject has been considered by many mathematicans, for example I.I. Bavrin, K. Dobrowolska, I. Dziubiński, S. Fukui, Z. J. Jakubowski, J. Kamiński, A. Marchlewska, Y. Michiwaki, J. A. Pfaltzgraff, R. Sitarski, T. J. Suffridge, J. Stankiewicz, I. Weinberg, A. Wrzesień, Ł. Żywień and the authors.

Certain class of analytic functions associated with the generalized hypergeometric function

Aouf M. K.

Journal of Mathematics and Applications

2007

Vol. 29

17-31

Using the generalized hypergeornetric function, we study a class V(sup p) (sub k (q, s; A, B, λ) of analytic functions with negative coefficients. Coefficient estimates, distortion theorem, extreme points and the radii of convexity and starlikeness for this class are given. We also derive many results for the modified Hadamard products of functions belonging to the class V(sup p) (sub k (q,s; A, B, λ).

Some application of theGolusinvariation to the starlike functions with respect to m-symmetric points

Stankiewicz Jan, Szpila Anna

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2004

z. 27 [212]

61-68

In this paper we consider the class of starlike functions with respect to m-symmetric points. Using the integral formula for functions from this class and applying the Golusin variation of the first type we obtain a sharp lower bound for If'(z)I.