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1
Content available remote Quasi-Hadamard product of certain p-valent functions
100%
Hossen H.
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2000
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tom Vol. 33, nr 2
277-281
EN
The author establish certain results concerning the quasi-Hadamard product of certain p-valent starlike and p-valent convex functions.
2
Certain classes of multivalent functions with negative coefficients involving the Hadamard product
75%
Juma A. R. S.
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|
tom 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.
3
Convolution of functions mappings the unit disc into some ngularly domains
75%
Piejko K.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
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tom z. 23 [175]
105-110
EN
Let delta denotes the unit disc and let [...].
4
Content available remote The convexity of Hadamard product of three functions
63%
Sokół J.
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2007
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tom 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.
5
Content available remote On certain subclasses of close-to-convex and
63%
Wang Z.-G. , Jiang Y.-P.
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2007
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tom 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.
6
Content available remote On certain subclasses of meromorphically multivalent functions associated with a certain linear operator
63%
Aouf M. K. , Murugusundaramoorthy G.
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2007
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tom 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).
7
Content available remote Certain subclass of multivalent functions involving the Cho-Kwon-Srivastava operator
63%
Zeng T. , Gao C.-Y. , Wang Z.-G. , Aghalary R.
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2008
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tom 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
63%
Aouf M. K.
|
2008
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tom 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 A linear operator and associated class of multivalent analytic functions
63%
Sokół J.
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2007
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tom Vol. 40, nr 3
559-566
EN
We introduce a certain class H alpha/k (p, lambda;h) of multivalent analytic functions in the open unit disc involving a linear operator L alpha/k. The aim of this paper is to extend the similar concept of many earlier papers. We use techniques of differential subordination and convolution of this class.
10
Content available remote Certain differential subordinations using a generalized Salagean operator and Ruscheweyh operator
63%
Lupas A. A.
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2010
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tom 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
Content available remote Generalized classes of uniformly convex functions
63%
Dziok J. , Szpila A.
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2010
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tom 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.
12
On the Hadamard product of certain meromorphic univalent function
63%
Patel J. , Sahoo P.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
|
tom z. 23 [175]
92-104
EN
In the paper some properties of the Hadamard product of functions from the special subclasses of meromorphic functions with nonnegative Laurent coefficients denned in the punctured unit disc are investigated.
13
Generalized neighbourhoods and stability of convolution for the class of k-uniformly convex and k-starlike functions
63%
Bednarz U. , Kanas S.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
|
tom z. 23 [175]
29-38
EN
Let k-UCV denote the class of k-uniformly convex functions and let k-ST be the related class of k-starlike functions. For [..] > 0 and nonnegative sequence {tn] we define generalized neighbourhood [...].
14
Content available remote Certain class of p-valent functions associated with the wright generalized hypergeometric function
63%
Aouf M. , Shamandy A. , Mostafa A. , Madian S.
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2010
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tom 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.
15
Content available remote Stability of the integral transformation of k-uniformly convex and k-starlike functions
51%
Bednarz U.
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2007
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tom 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.
16
Content available remote Some parametric family of functions
51%
Dziok J.
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2007
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tom 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.
17
Content available remote Subordination results and integral means inequalities for generalized k-starlike functions
51%
Dziok J. , Murugusundaramoorthy G. , Wiśniowska W.
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2009
|
tom 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.
18
Content available remote On T-neighborhoods of analytic functions
51%
Bednarz U. , Sokół J.
|
2010
|
tom Vol. 32
25-32
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