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1
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
2
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.
3
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].
4
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.
5
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.
6
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.
7
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.
8
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.
9
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.
10
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.
11
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.
12
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).
13
Content available remote On certain subclasses of close-to-convex and
Wang Z-G., Jiang Y-P.
Journal of Mathematics and Applications
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2007
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Vol. 29
167-179
EN
In the present paper, the authors introduce two new subclasses S(sup k) (sub sc) (γ, α β) of close-to-convex functions and C(sup k) (sub sc) (γ, α β) of quasi-convex functions with respect to 2k-symmetric conjugate points. The inclusion and subordination relationships, convolution conditions for these classes are provided. The coefficient inequalities, integral representations and sufficient conditions for functions belonging to these classes are also provided.
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