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Some inequalities involving multivalent functions

100%

Owa S. , Nunokawa M. , Saitoh H.

Annales Polonici Mathematici

1994-1995

tom 60

nr 2

159-162

The object of the present paper is to derive some inequalities involving multivalent functions in the unit disk. One of our results is an improvement and a generalization of a result due to R. M. Robinson [4].

On a new proof and an extension of Jack’s lemma

100%

Fournier R.

Journal of Applied Analysis

2017

tom Vol. 23, nr 1

21--24

We give a new proof and discuss an extension of Jack’s lemma for polynomials.

Sufficient conditions for multivalent starlikeness

100%

Owai S. , Nunokawa M. , Saitoh H.

Annales Polonici Mathematici

1995

tom 62

nr 1

75-78

Let 𝕊*(p) be the class of functions f(z) which are p-valently starlike in the open unit disk 𝕌. Two sufficient conditions for a function f(z) to be in the class 𝕊*(p) are shown.

Certain operators and inequalities and their applications to meromorphically multivalent functions

75%

Dziok J. , Irmak H.

Demonstratio Mathematica

2003

tom Vol. 36, nr 4

839--846

In the present paper, making use of certain operators, some theorems involving inequalities on meromorphically multivalent functions in the punctured unit disk are obtained. Moreover, some of the results which are important for geometric function theory are also included.

Applications of a first order differential subordination for analytic functions

63%

Dziok J. , Ohriska J.

Journal of Mathematics and Applications

2010

tom Vol. 32

39-46

In the paper, we define classes of analytic functions, in terms of subordination. By using Jack's Lemma and the Briot-Bouquet differential subordination we obtain some inclusion relations for defined classes.

Some families of meromorphically multivalent functions and their applications

51%

Dziok J. , Irmak H.

Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka

2004

tom z. 27 [212]

19-23

In the aim of the present paper, two families of meromorphically multivalent (non-normalized) functions with complex coefficients in the punctured unit disk are stated. They also indicate relevant connections of these families of meromorphically multivalent and meromorphic univalent functions which involve some interesting results on this topics of Geometric and Analytic Functions Theory.

Some inequalities involving differential operators and their applications to certain multivalent functions

51%

Dziok J. , Huseyin I. , Piejko K.

Journal of Mathematics and Applications

2007

tom Vol. 29

109-120

The main object of the present paper is to investigate several results of certain differential operators which were recently introduced and (or) studied in a series of papers by Chen et et al. [1-3], Irmak et al. [8, 10, 11], Dziok et al. [5, 6] and Liu et al. [14]. In addition, some applications of our results involving certain differential inequalities of multivalently analytic and (or) multivalently raeromorphic functions are given. Our certain results also include some recent results in [5, 6, 9, 11, 12].

On an application of certain sufficient condition for starlikeness

51%

Sokół J.

Journal of Mathematics and Applications

2008

tom Vol. 30

131-135

In this paper we consider a sufficient condition for furiction to be a-starlike function, when α ∈ [0, 1/2]. We use it for certain subclass of strongly starlike functions defined by a geometric condition. We take advantage of the techniąues of differential subordinations.