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1
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.
2
Content available remote Some properties of a subclass of uniformly convex functions with negative coefficients
Aouf M., Mostafa A.
Demonstratio Mathematica
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2008
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Vol. 41, nr 2
353-370
EN
The aim of this paper is to obtain coefficient estimates, distortion theorem, extreme points and radii of close - to - convexity, starlikeness and convexity for functions belonging to the subclass TSlambda (n,alpha, beta) of uniformly convex functions with negative coefficients. We also derive many results for the modified Hadamard products of functions belonging to the class TSlambda(n,alpha, beta), and obtain several interesting distortion theorems for certain fractional operators of functions in this class. Finally, we consider integral operators associated with functions in this class.
3
Content available remote Neighbourhoods of certain p-valently analytic functions defined by using Salagean operator
Aouf M.
Demonstratio Mathematica
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2008
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Vol. 41, nr 3
561-570
EN
By making use of the familiar concept of neighbourhood of analytic and p-valent functions, the author prove coefficient bounds and distortion inequalities and associated inclusion relations for the (j, [...)-neighbourhoods of a family of p-valent functions with negative coefficients and defined by using Salagean operator which is defined by means of a certain non-homogenous Cauchy-Euler differential equation.
4
Content available remote Generalizations of Hadamard products of certain meromorphic univalent functions with positive coefficients
Aouf M., Silverman H.
Demonstratio Mathematica
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2008
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Vol. 41, nr 2
381-388
EN
The authors establish certain results concerning the generalized Hadamard products of certain meromorphic univalent functions with positive coefficients analagous to the results due to Choi et al. (J. Math. Anal. Appl. 199(1996), 495-501).
5
Content available remote On certain subclasses of p-valently analytic functions of order alpha
Aouf M.
Demonstratio Mathematica
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2007
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Vol. 40, nr 2
317-330
EN
The object of the present paper is to derive various properties and char- acteristics of certain subclasses of p-valently analytic functions of order alpha in the open unit disc by using the techniques involving the Briot-Bouquet differential subordination.
6
Content available remote Certain subclasses of multivalent prestarlike functions with negative coefficients
Aouf M.
Demonstratio Mathematica
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2007
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Vol. 40, nr 4
799-814
EN
The object of the present paper is to investigate coefficient estimates and closure theorems for functions belonging to the class R[..] of p-valent prestarlike functions with negative coefficients. We also consider integral operators associalted with functions belonging to the class R[..]. Furthermore, distortion theorems involving a generalized fractional integral (derivative) opertaor for functions in this class are proved.
7
Content available remote Fixed coefficients for certain subclasses of starlike functions with negative coefficients
Aouf M., Al-Dohiman A.
Demonstratio Mathematica
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2005
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Vol. 38, nr 3
551--565
EN
The main object of this paper is to study the class T*n,c(alfa,beta) of analytic functions with negative coefficients and with fixed second coefficients. Among other results of interest, we derive coefficient estimates, closure properties involving convex linear combinations, growth and distortion theorems, and radii of starlikeness and convexity for functions in the class T*n,c(alfa,beta). Many of these results are further extended to hold true for families of functions with finitely many fixed coefficients.
8
Content available remote On inequalities for certain multivalent functions involving Ruscheweyh derivative
Aouf M., Darwish H., Attiya A.
Demonstratio Mathematica
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2000
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Vol. 33, nr 2
283-288
9
Content available remote A generalization of p-valent classes related to convex functions
Aouf M., Darwish H., Alhosseny A.
Demonstratio Mathematica
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2000
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Vol. 33, nr 3
467-479
10
Content available remote A certain subclass of analytic p-valent functions with negative coefficients
Aouf M., Hossen H., Srivastava H.
Demonstratio Mathematica
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1998
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Vol. 31, nr 3
595-608
EN
The object of the present paper is to derive several sharp results for the modified Hadamard products (or convolution) of functions belonging to a certain subclass Gp (lambda,alfa) of analytic and p-valent functions with negative coefficients, which is related rather closely to a class Fp (lambda,alfa) studied earlier by Lee et al. [4] . Distortion theorems for the fractional calculus (that is, fractional integral and fractional derivative) of functions in the class Gp (lambda,alfa) are obtained. This paper is essentially a sequel to the work of Aouf [3] who introduced, and derived some basic properties of, the class Gp(lambda,alfa).
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