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Some criteria on Integral means for certain classes of functions with negative coefficients

100%

Latha S. , Raju D. S.

Journal of Mathematics and Applications

2008

tom Vol. 30

91-102

Let T be the class of functions f with negative coefficients which are analytic and univalent in the open disk U with f(0) = 0 and f'(0) = 1. For the classes T* (A, B) and C (A,B), -1 ≤ A < B ≤ 1 defined as subclasses of T, interesting results for integral means are discussed.

A class of harminic starlike functions with respect to other points defined by Dziok-Srivastava operator

72%

Murugusundaramoorthy G. , Vijaya K. , Auof M. K.

Journal of Mathematics and Applications

2008

tom Vol. 30

113-124

Making use of Dziok-Srivastava operator we introduced a new class of complex-valued harmonie functions which are orientation preserving, univalent and starlike with respect to other points. We investigate the coefficient bounds.distortion inequalities, extreme points and inclusion results for the generalized class of functions.

Remark on the abstract Dirichlet problem for Baire-one functions

72%

Kalenda O. F. K.

Bulletin of the Polish Academy of Sciences. Mathematics

2005

tom Vol. 53, no 1

55-73

We study the possibility of extending any bounded Baire-one function on the set of extreme points of a compact convex set to an affine Baire-one function and related questions. We give complete solutions to these questions within a class of Choquet simplices introduced by P. J. Stacey (1979). In particular we get an example of a Choquet simplex such that its set of extreme points is not Borel but any bounded Baire-one function on the set of extreme points can be extended to an affine Baire-one function. We also study the analogous questions for functions of higher Baire classes.