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1
Content available On a class of meromorphic functions defined by the convolution
Dziok J., Sokół J., Stankiewicz J.
Journal of Mathematics and Applications
|
2015
|
Vol. 38
59--70
EN
In the present paper we define some classes of meromorphic functions with fixed argument of coefficients. Next we obtain coefficient estimates, distortion theorems, integral means inequalities, the radii of convexity and starlikeness and convolution properties for the defined class of functions.
2
Content available remote Subclasses of univalent functions related with circular domains
Trojnar-Spelina L.
Journal of Mathematics and Applications
|
2011
|
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.
3
Content available remote Generalized classes of uniformly convex functions
Dziok J., Szpila A.
Journal of Mathematics and Applications
|
2010
|
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.
4
Content available remote Certain differential subordinations using a generalized Salagean operator and Ruscheweyh operator
Lupas A. A.
Journal of Mathematics and Applications
|
2010
|
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].
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
|
2010
|
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
Koebe domains for the classes of functions with ranges included in given sets
Koczan L., Zaprawa P.
Journal of Applied Analysis
|
2008
|
Vol. 14, nr 1
43-52
EN
In this paper we present a new method of determining Koebe domains. We apple this method by giving a new proof of the well-known theorem of A. W. Goodman concerning the Koebe domain for the class T of typically real functions. We applied also the method to determine Koebe sets for classes of the special type , i.e. for TM,g = {∫ ∈ T : ∫(Δ) ⊂ Mg(Δ)}, g ∈ T ∩ S, M > 1, where Δ = {z ∈ C: IzI < 1} and T, S stand for the classes of tipically real functions and univalent functions respectively. In particular, we find the Koebe domains for the class T (M) of all typically real functions with ranges in a given strip.
7
Content available remote The convexity of Hadamard product of three functions
Sokół J.
Journal of Mathematics and Applications
|
2007
|
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.
8
Starlikeness of a class of functions
Singh Vikram
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2002
|
z. 26 [199]
135-139
EN
We improve a result in Mocanu and Oros [1].
9
Relations betweensome subclasses of Caratheodory class
Jurasińska R.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2002
|
z. 26 [199]
77-87
EN
Let U = {z is an element of C : \z\ < 1} denote the unit disc and let H = H(U) denote the family of functions holomorphic in U. Let omega denote the class of Schwarz functions w is an element of H such that [...]. We say that / is subordinate to g in U and write [...].
10
Remarks on shell-like functions
Sokół J.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
111-116
EN
Let delta = {z : \z\ < 1} denote the unit disc. We give some remarks on a subclass of starlike functions f such that [...].
11
On uniformly [alpha]-close to-convex functions
Durai M., Prabhakaran D.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
5-14
EN
The transform under Ruscheweyh integral operator of the newly introduced class of uniformly a-close to-convex functions is studied.
12
On the neighbourhoods of the class R(alpha,A,B)
Parvatan R., Prabhakaran D.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
65-77
EN
In this paper we study the [delta]-neighbourhood of the class R(alpha, A, B) and some theorems related to convolution properties of this class.
13
On first order differential subordination connected with parabola
Lecko A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
2000
|
z. 24 [181]
49-54
EN
Let D = {z : \z\ < 1} denote the unit disk. For gamma [is not equal to]0, Re[gamma] > 0, we investigate some properties of the differential subordination of the form p{z)+gammazp'\z) [...]P{z), z is an element of D, where P is given by (1.1).
14
Content available remote On certain differential subordination for sectors
Lecko A.
Demonstratio Mathematica
|
2000
|
Vol. 33, nr 4
741-746
15
The class of functions defined by differential integral operators
Trojnar-Spelina L.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
|
z. 23 [175]
145-160
EN
In this paper we consider the class of functions with negative coefficients denned by differential integral operators. Among others the necessary and sufficient condition for a function f to be in the studied class is presented.
16
On starlike functions connected with Fibonacci numbers
Sokół J.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
|
z. 23 [175]
111-116
EN
Let delta={z:|z[<1} denote the unit disc. We investigate some properties of a subclas of starlike functions defined by DEF.`. The coefficients of such functions are connected with Fibonacci numbers.
17
On classes of functions defined by subordination to some special n-valent functions
Jurasińska R.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1999
|
z. 23 [175]
52-60
EN
Let H = H(U) be the class of all functions which are holomorphic in the unit disc U = {z : \z[ < 1}. Let P(n,A,B) denotes the class of all functions p(z) = 1 +p1z +p2z2 + ...is an element of H, such that p(z) -< 1+Azn/1-Bzn, where -< denotes subordination. With the class P(n, A, B) we connect the subclass S*(n, A, B) of starlike functions in the following way. A function f(z) = z o+a2z.2 z2 + ... belongs to S*(n, A, B) if and only ifzf'(z)/f(z) is an element of P(n, A, B). In this note we give some estimations for the modulus of functions and coefficients in the classes P(n,A,B) and S*(n,A, B).
18
The classes of functions which can be defined by subordination
Jurasińska R., Szpila A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1998
|
z. 22 [170]
41-49
EN
Let H = H(U) be the class of all functions which are holomorphic in the unit disc U = {z : \z\ < 1}. Let P(n) denotes the class of all functions p(z) = 1+piz+... is an element H, such thatp(pz) -< (1+zn/(1-zn), where -< denotes subordination. With the class P(n) we connect the subclass S*(n) of starlike functions in the following way. A function f(z) = z + a2z + ... belongs to S* (n) if and only if zf'(z)/f(z) is an element of P(n). In this note we give the estimations of some coefficients in the classes P(n) and S*(n) and we find the radius of convexity of the class S*(n).
19
On certain differential subordination for circular domains
Lecko A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
|
1998
|
z. 22 [170]
101-108
EN
Let U = {z : \z\ < 1} denote the unit disk. For A and B such that -1
20
Content available remote On some subclass of strongly starlike functions
Sokół J.
Demonstratio Mathematica
|
1998
|
Vol. 31, nr 1
81-86
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