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Convolution properties of univalent functions defined by generalized Sâlâgean operator

Murugusundaramoorthy G., Juma A. R. S., Kulkarni S. R.

Journal of Mathematics and Applications

2008

Vol. 30

103-112

In our present work we obtained some interesting properties of convolution using the generalized Sâlâgean operator on univalent functions with rnissing coefficients, also we investigate other results by making use of subordination concept.

On a subclass of uniformly convex functions with fixed second coefficient

Darwish H.

Demonstratio Mathematica

2008

Vol. 41, nr 4

791-803

Using of Salagean operator, we define a new subclass of uniformly convex functions with negative coefficients and with fixed second coefficient. The main objective of this paper is to obtain coefficient estimates, distortion bounds, closure theorems and extreme points for functions belonging of this new class. The results are generalized to families with fixed finitely many coefficients.

Neighbourhoods of certain p-valently analytic functions defined by using Salagean operator

Aouf M.

Demonstratio Mathematica

2008

Vol. 41, nr 3

561-570

By making use of the familiar concept of neighbourhood of analytic and p-valent functions, the author prove coefficient bounds and distortion inequalities and associated inclusion relations for the (j, [...)-neighbourhoods of a family of p-valent functions with negative coefficients and defined by using Salagean operator which is defined by means of a certain non-homogenous Cauchy-Euler differential equation.