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1
Content available remote Preserving subordination and superordination results of generalized Srivastava-Attiya operator
Aouf M. K., Mostafa A. O., Shahin A. M., Madian S. M.
Journal of Mathematics and Applications
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2013
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Vol. 36
17--26
EN
In this paper, we obtain some subordination and superordination-preserving results of the generalized Srivastava-Attyia operator. Sandwich-type result is also obtained.
2
Content available remote New univalence criterions for special general integral operators
Ebadian A., Sokół J.
Journal of Mathematics and Applications
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2013
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Vol. 36
63--69
EN
In this work we consider some integral operators on the special subclasses of the set of analytic functions in the unit disc which are defined by the Hadamard product. Using the univalence criterions, we obtain new sucient conditions for these operators to be univalent in the open unit disk. We give some applications of the main results.
3
Content available remote Convolution properties of subclasses of analytic functions associated with the Dziok-Srivastava operator
Goyal S. P., Bansal S. K., Goswami P., Wang Z.-G.
Journal of Mathematics and Applications
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2013
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Vol. 36
71--77
EN
The aim of this paper is to introduce two new classes of analytic function by using principle of subordination and the Dziok-Srivastava operator. We further investigate convolution properties for these calsses. We also nd necessary and sufficient condition and coefficient estimate for them.
4
Certain classes of multivalent functions with negative coefficients involving the Hadamard product
Juma A. R. S.
Journal of Applied Analysis
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2012
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Vol. 18, nr 1
133-143
EN
In this paper, we introduce and investigate a new class of multivalent functions by using the Hadamard product structure defined in the open unit disk. We obtain coefficient estimates, a distortion theorem, extreme points and criteria of starlikeness and convexity for functions which belong to our class. Relevant connections of the results with those obtained in earlier works are also pointed out.
5
Content available remote Subclasses of univalent functions related with circular domains
Trojnar-Spelina L.
Journal of Mathematics and Applications
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2011
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Vol. 34
109--116
EN
We investigate the family of functions normalized by the condition ƒ(0) = ƒ(0) - 1 = 0, that are analytic in the unit disk, with the property that the domain of values [...] is the disk |z-b| < b, b ≥ 1. Integral and convolution characterizations are found and coefficients bounds are given.
6
Content available remote On meromorphic multivalent functions defined with the use of linear operator
Juma A. R. S.
Journal of Mathematics and Applications
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2011
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Vol. 34
35-44
EN
In the present paper we introduce two classes of meromorphically multivalent functions and application of linear operators on these classes. We study various properties and coefficients bounds, the concept of neighbourhood also investigated.
7
Content available remote Coefficient inequalities for certain classes of analytic functions associated with the Wright generalized hypergeometric function
Frasin B. A., Darus M., Al-Hawary T.
Journal of Mathematics and Applications
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2011
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Vol. 34
27-34
EN
In this paper, we obtain sufficient condition involving coefficient inequalities for f(z) to in the class [...] of analytic functions defined in the open unit disk and satisfying the analytic criterion [...]. Our main result contain some interesting corollaries as special cases.
8
Content available remote On T-neighborhoods of analytic functions
Bednarz U., Sokół J
Journal of Mathematics and Applications
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2010
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Vol. 32
25-32
9
Content available remote Generalized classes of uniformly convex functions
Dziok J., Szpila A.
Journal of Mathematics and Applications
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2010
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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.
10
Content available remote Certain differential subordinations using a generalized Salagean operator and Ruscheweyh operator
Lupas A. A.
Journal of Mathematics and Applications
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2010
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Vol. 33
67-72
EN
In the present paper we define a new operator using the generalized Salagean operator and Ruscheweyh operator. Denote by [formula/wzór] the Hadamard product of the generalized Salagean operator [formula/wzór] and Ruscheweyh operator R(n), given by [fomula/wzór] is the class of normalized analytic functions with A1 = A. We study some differential subordinations regarding the operator [formula/wzór].
11
Some properties of certain meromorphically multivalent functions associated with the extended multiplier transformation
Aouf M. K., Shamandy A., El-Ashwah R. M., Ali E. E.
Journal of Applied Analysis
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2010
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Vol. 16, nr 2
225-236
EN
The main object of the present paper is to investigate some interesting properties of certain meromorphically multivalent functions associated with the extended multiplier transformation.
12
Content available remote Certain class of p-valent functions associated with the wright generalized hypergeometric function
Aouf M., Shamandy A., Mostafa A., Madian S.
Demonstratio Mathematica
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2010
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Vol. 43, nr 1
39-54
EN
Using the Wright's generalized hypergeometric function, we introduce a new class Wk (p, q, s; A, B, lambda) of analytic p-valent functions with negative coefficients. In this paper we investigate coefficients estimates, distortion theorem, the radii of p-valent starlikeness and p-valent convexity and modified Hadamard products.
13
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
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2009
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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.
14
Content available remote Convolution properties of univalent functions defined by generalized Sâlâgean operator
Murugusundaramoorthy G., Juma A. R. S., Kulkarni S. R.
Journal of Mathematics and Applications
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2008
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Vol. 30
103-112
EN
In our present work we obtained some interesting properties of convolution using the generalized Sâlâgean operator on univalent functions with rnissing coefficients, also we investigate other results by making use of subordination concept.
15
Content available remote Certain subclass of multivalent functions involving the Cho-Kwon-Srivastava operator
Zeng T., Gao Ch-Y., Wang Z-G., Aghalary R.
Journal of Mathematics and Applications
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2008
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Vol. 30
161-170
EN
In the present paper, we introduce a new subclass S(sup (j)) (sub p, λ) (α; a, c; φ) of multivalent functions involving the Cho-Kwon-Srivastava operator. Such results as inclusion relationships, coefficient estimates and convolution properties for this class are proved. The results presented here would provide extensions of those given in earlier works.
16
Content available remote Certain classes of multivalent functions with negative coefficients defined by using a differential operator
Aouf M. K.
Journal of Mathematics and Applications
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2008
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Vol. 30
5-21
EN
In this paper, we investigate the various important prop-erties and characteristics of the subclasses Sn (p, q, α, β) and Cn (p, q, α, β) of multivalent functions with negative coefficients defined by using a differential operator. We also derive many results for the modified Hadamard products of functions belongingto the classes Sn(p, q, α, β) and Cn(p, q, α, β). Finally several applications involving an integral operator and certain fractional calculus operators are also considered.
17
Content available remote The convexity of Hadamard product of three functions
Sokół J.
Journal of Mathematics and Applications
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2007
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Vol. 29
121-125
EN
Let α, β, γ < and let f, g, h be analytic functions such that Re[f'(z)] ≥ α, Re[g'(z)] ≥ β, Re[h'(z)] ≥ γ in the unit disc U. In this paper we give a sufficient condition for the convexity of Hadamard product f *g *h in the unit dsc U.
18
Content available remote Stability of the integral transformation of k-uniformly convex and k-starlike functions
Bednarz U.
Journal of Mathematics and Applications
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2007
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Vol. 29
91-98
EN
For a constant k ϵ [0, ∞) a normalized function f, analytic in the unit disk, is said to be k-uniformly convex if Re (1+z f" (z)/f'(z)) > k|zf"(z)/f'(z)| at any point in the unit disk. The class of k-uniformly convex functions is denoted k-UCV (cf. [8]). The function g is said to be k-starlike if g(z) = zf'(z) and f ϵ k-UCV. For analytic function f, where f(z) = z + a2z² + źźź the integral transformation is defined as follows: [wzór]. Generalized neighbourhood is defined as: [wzór]. In this note a problem of stability of the integral transformation of k-uniformly convex and k-starlike functions for TNδ neighbourhoods is investigated.
19
Content available remote Some parametric family of functions
Dziok J.
Journal of Mathematics and Applications
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2007
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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.
20
Content available remote On certain subclasses of meromorphically multivalent functions associated with a certain linear operator
Aouf M. K., Murugusundaramoorthy G.
Journal of Mathematics and Applications
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2007
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Vol. 29
33-52
EN
In this paper we introduce and study two subclasses (Rn,p(α, A, B)) and Sn,p(α, A, B)) of meromorphic p-valent functions of order α (0 ≤ α < p) defined by certain linear operator. We investigate the various important properties and characteristics of these subclasses. Some properties of neighborhoods of functions in these subclasses are investigated. Also we derive many interesting results for the Hadamard products of functions belonging to the class Sn,p(α, A, B).
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