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A new class of multivalent analytic functions defined by the hadamard product

Dziok J.

Demonstratio Mathematica

2011

Vol. 44, nr 2

233-251

The object of the present paper is to investigate the coefficients estimates, distortion properties, the radii of starlikeness and convexity, subordination theorems, partial sums and integral mean inequalities for classes of functions with two fixed points. Some remarks depicting consequences of the main results are also mentioned.

Generalized classes of uniformly convex functions

Dziok J., Szpila A.

Journal of Mathematics and Applications

2010

Vol. 33

13-26

In this paper we introduce some subclasses of analytic functions with varying argument of coeffcients. These classes are defined in terms of the Hadamard product and generalize the well-known classes of uniformly convex functions. We investigate the coeffcients estimates, distortion properties, radii of starlikeness and convexity for defined classes of functions.

Subordination results and integral means inequalities for generalized k-starlike functions

Dziok J., Murugusundaramoorthy G., Wiśniowska W.

Journal of Mathematics and Applications

2009

Vol. 31

37-49

In the paper, we introduce a generalized class of k-starlike functions associated with Wright generalized hypergeometric functions and obtain the sequential subordination results and integral means inequalities. Some interesting consequences of our results are also pointed out.