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Classes of meromorphic multivalent functions with Montel’s normalization

100%

Dziok J.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2012

tom 66

nr 2

In the paper we define classes of meromorphic multivalent functions with Montel’s normalization. We investigate the coefficients estimates, distortion properties, the radius of starlikeness, subordination theorems and partial sums for the defined classes of functions. Some remarks depicting consequences of the main results are also mentioned.

Generalized classes of uniformly convex functions

84%

Dziok J. , Szpila A.

2010

tom 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

67%

Dziok J. , Murugusundaramoorthy G. , Wiśniowska W.

2009

tom 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.