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1
Content available On a class of meromorphic functions defined by the convolution
Dziok J., Sokół J., Stankiewicz J.
Journal of Mathematics and Applications
|
2015
|
Vol. 38
59--70
EN
In the present paper we define some classes of meromorphic functions with fixed argument of coefficients. Next we obtain coefficient estimates, distortion theorems, integral means inequalities, the radii of convexity and starlikeness and convolution properties for the defined class of functions.
2
Content available Majorization problems for classes of analytic functions
Dziok J., Murugusundaramoorthy G., Janani T
Journal of Mathematics and Applications
|
2015
|
Vol. 38
49--57
EN
The main object of the present paper is to investigate problems of majorization for certain classes of analytic functions of complex order defined by an operator related to the modified Bessel functions of first kind. These results are obtained by investigating appropriate class of admissible functions. Various known or new special cases of our results are.
3
On Janowski harmonic functions
Dziok J.
Journal of Applied Analysis
|
2015
|
Vol. 21, nr 2
99--107
EN
In this paper we define classes of harmonic functions related to the Janowski functions and we give some necessary and sufficient conditions for these classes. Some topological properties and extreme points of the classes are also considered. By using extreme points theory we obtain coefficients estimates, distortion theorems, integral mean inequalities for the classes of functions.
4
Content available remote Partial sums of a certain harmonic univalent meromorphic functions
Aouf M. K., El-Ashwah R. M., Dziok J., Stankiewicz J.
Journal of Mathematics and Applications
|
2014
|
Vol. 37
5--12
EN
In the present paper we determine sharp lower bounds of the real part of the ratios of harmonic univalent meromorphic functions to their sequences of partial sums [...].
5
Content available remote A new class of multivalent analytic functions defined by the hadamard product
Dziok J.
Demonstratio Mathematica
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2011
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Vol. 44, nr 2
233-251
EN
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.
6
Content available remote Generalized classes of uniformly convex functions
Dziok J., Szpila A.
Journal of Mathematics and Applications
|
2010
|
Vol. 33
13-26
EN
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.
7
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
|
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.
8
Content available remote 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
EN
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.
9
Content available remote Classes of functions defined by subordination
Dziok J., Stankiewicz J.
Journal of Mathematics and Applications
|
2008
|
Vol. 30
53-59
EN
In the paper, we define classes of analytic functions, in terms of subordination. We present some inclusion relations for defined classes.
10
Content available remote Certain class of analytic functions associated with the wright generalized hypergeometric function
Aouf M. K., Dziok J.
Journal of Mathematics and Applications
|
2008
|
Vol. 30
23-32
EN
Using the Wrigh's generalized hypergeometric function, we introduce a new class W(q, s; A, B, γ) of analytic functions with nega-tive coefficients. In this paper we investigate coefficient estimates, distortion theorem and the radii of convexity and starlikeness.
11
Distortion and convolutional theorems for operators of generalized fractional calculus involving wright function
Aouf M. K., Dziok J.
Journal of Applied Analysis
|
2008
|
Vol. 14, nr 2
183-192
EN
Using the Wright's generalized hypergeornetric function, we investigate a class W(q,s: A, B, λ) of analytic functions with negative coefficients. We derive many results for the modified Hadamard product of functions belonging to the class W(q,s: A, B, λ) . Moreover, we generalize some of the distortion theorems to the classical fractional integrals and derivatives and the Saigo (hypergeornetric) operators of fractional calculus.
12
Content available remote On a subclass of p-valent functions
Dziok J.
Demonstratio Mathematica
|
2008
|
Vol. 41, nr 1
63-71
EN
In this paper we consider a subclass of p-valent functions defined by certain differential-integral operator. By using the Krein-Milman theorem we obtain the extreme points of the classs. Some extremal problems in the class are also determined.
13
Content available remote Some parametric family of functions
Dziok J.
Journal of Mathematics and Applications
|
2007
|
Vol. 29
99-107
EN
In the paper, we define classes of analytic functions, in terms of some linear operator. Coefficients estimates, distortion theorems, and the radii of convexity and starlikeness for this class of analytic functions are given here.
14
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
|
2007
|
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].
15
Content available remote Some relations including various linear operators
Dziok J.
Demonstratio Mathematica
|
2007
|
Vol. 40, nr 1
77-84
EN
Making use of the Carlson-Schaer linear operator, some subclasses of analytic functions are studied. Some relations including various linear operators are given.
16
Content available remote On a class of functions with negative coefficients
Dziok J., Trojnar-Spelina L.
Journal of Mathematics and Applications
|
2006
|
Vol. 28
41-48
EN
Using the Carlson-Shaffer linear operator we introduce and study the class of analytic functions with negative coefficients. Coefficients estimates, distortion theorems and the radii of convexity and starlikeness for this class are given.
17
Content available remote Families of analytic functions associated with the Wright generalized hypergeometric functions
Dziok J., Raina R. K.
Demonstratio Mathematica
|
2004
|
Vol. 37, nr 3
533--542
EN
By introducing a new class of analytic functions with negative coefficients which involves the Wright's generalized hypergeometric function, we investigate the coefficient bounds, distortion theorems, extreme points and radii of convexity and starlikeness for this class of functions.
18
Content available remote Certain operators and inequalities and their applications to meromorphically multivalent functions
Dziok J., Irmak H.
Demonstratio Mathematica
|
2003
|
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.
19
Certain classes and inequalities and their applications to multivalently analytic functions
Dziok J., Irmak H.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2001
|
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.
20
Content available remote Classes of p-valent analytic function
Dziok J.
Demonstratio Mathematica
|
2000
|
Vol. 33, nr 1
55-63
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