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1
On a new proof and an extension of Jack’s lemma
Fournier R.
Journal of Applied Analysis
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2017
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Vol. 23, nr 1
21--24
EN
We give a new proof and discuss an extension of Jack’s lemma for polynomials.
2
Content available remote Applications of a first order differential subordination for analytic functions
Dziok J., Ohriska J.
Journal of Mathematics and Applications
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2010
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Vol. 32
39-46
EN
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.
3
Content available remote On an application of certain sufficient condition for starlikeness
Sokół J.
Journal of Mathematics and Applications
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2008
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Vol. 30
131-135
EN
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.
4
Content available remote Some inequalities involving differential operators and their applications to certain multivalent functions
Dziok J., Huseyin I., Piejko K.
Journal of Mathematics and Applications
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2007
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Vol. 29
109-120
EN
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].
5
Some families of meromorphically multivalent functions and their applications
Dziok Jacek, Irmak H.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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2004
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z. 27 [212]
19-23
EN
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.
6
Content available remote Certain operators and inequalities and their applications to meromorphically multivalent functions
Dziok J., Irmak H.
Demonstratio Mathematica
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2003
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Vol. 36, nr 4
839--846
EN
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.
7
Certain classes and inequalities and their applications to multivalently analytic functions
Dziok J., Irmak H.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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2001
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z. 25 [190]
55-62
EN
Using fractional calculus introduced by S. Owa we define two classes of analytic functions. Some sufficient conditions for functions to belong to these classes are given. Moreover consequences of main results are also pointed out.
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