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1
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
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2014
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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 [...].
2
Content available remote On differential sandwich theorems of analytic functions defined by certain generalized linear operator
Seoudy T. M., Aouf M. K.
Journal of Mathematics and Applications
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2014
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Vol. 37
97--109
EN
In this paper, we obtain some applications of first order differential subordination and superordination results involving certain linear operator and other linear operators for certain normalized analytic functions. Some of our results improve and generalize previously known results.
3
Content available A unified representation of some starlike and convex harmonic functions with negative coefficients
El-Ashwah R. M., Aouf M. K., Hassan A. A. M., Hassan A. H.
Opuscula Mathematica
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2013
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Vol. 33, no. 2
273--281
EN
In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions. We obtain extreme points, distortion bounds, convolution conditions and convex combinations for this family.
4
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.
5
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.
6
Sandwich theorems for certain subclasses of analytic functions defined by family of linear operators
Mostafa A. O., Aouf M. K.
Journal of Applied Analysis
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2009
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Vol. 15, nr 2
269-280
EN
In this paper, we obtain some applications of first order differential subordination and superordination results involving Dziok-Srivastava operator and other linear operators for certain normalized analytic functions in the open unit disk. The results, which are presented in this paper, have relevant connections with various previous results.
7
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.
8
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
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2008
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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.
9
Distortion and convolutional theorems for operators of generalized fractional calculus involving wright function
Aouf M. K., Dziok J.
Journal of Applied Analysis
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2008
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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.
10
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).
11
Content available remote Certain class of analytic functions associated with the generalized hypergeometric function
Aouf M. K.
Journal of Mathematics and Applications
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2007
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Vol. 29
17-31
EN
Using the generalized hypergeornetric function, we study a class V(sup p) (sub k (q, s; A, B, λ) of analytic functions with negative coefficients. Coefficient estimates, distortion theorem, extreme points and the radii of convexity and starlikeness for this class are given. We also derive many results for the modified Hadamard products of functions belonging to the class V(sup p) (sub k (q,s; A, B, λ).
12
Content available remote Coefficient estimates for certain class of analytic funtions of compelex order and type beta
Aouf M. K., Yamy M. A. Al.
Demonstratio Mathematica
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2005
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Vol. 38, nr 2
313--322
EN
Let f(x) = z+ sum (for n=k+1 to infinity) belong to the class S(1 - b),beta), b=0,, complex and 0 < beta < 1. In this paper, we determine sharp coefficient estimates for functions of the form f(z)t = zt + sum (for n=t+kan zn to infinity), where t is a positive integer. The results obtained generalize the work of many authors.
13
Content available remote On certain subclass of analytic functions with complex order
Aouf M. K., Al-amri B. A.
Demonstratio Mathematica
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2003
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Vol. 36, nr 4
827--838
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