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1
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.
2
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.
3
Content available remote On a problem H. S. Al-Amiri and M. O. Reade
Singh S., Gupta S.
Demonstratio Mathematica
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2005
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Vol. 38, nr 2
303--311
EN
In the present paper, the authors investigate the univalence of the functions f, analytic in -E, f(O) = 0, f'(0) = 1 and which satisfy Re [(1 - alfa)f'(z) + alfa (1+ zf''(z): f'(z)] >beta, z is an element of E, where alfa > 0 and 0 < beta < 1. The univalence of such functions has already been established in the case when alfa < 0 and beta = 0 by H. S. Al-Amiri and M. 0. Reade in 1975.
4
Second order differential subordinations and certain subordination relations
Kowalczyk Joanna
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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2002
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z. 26 [199]
97-106
EN
In the present paper the second order differential subordination (1 - alpha)f(z/z + alphaf'{z) + betazf(z) [...] 1 + Mz \z is an element of U) is investigated. The best dominant of subordination (1) is founded. Connections between subordination (1) and subordination of f(z)/z, f'{z) are given. Further the convexity of the function / satisfying the subordination (1) for special choice of parameters a, alpha, beta and M are derived.
5
On the neighbourhoods of the class R(alpha,A,B)
Parvatan R., Prabhakaran D.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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2000
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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.
6
On first order differential subordination connected with parabola
Lecko A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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2000
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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).
7
The class of functions defined by differential integral operators
Trojnar-Spelina L.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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1999
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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.
8
Differential subordinationfor domains bounded by hyperbolas
Kanas S., Lecko A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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1999
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z. 23 [175]
61-70
EN
Let the function pa,b,s-so with a, b real, nonnegative numbers and s, so is an element of R, be a conform al mapping of the unit disk onto a hyperbolic domain. We establish the conditions udner which the differential subordination of the type p(z) +[...]zp'(z) -< pa,b,s-so(^) yields p -< pa,b,s- so(z) yields p [...] pa,b,s in U. Some applications of obtained results are given.
9
On certain differential subordination for circular domains
Lecko A.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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1998
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z. 22 [170]
101-108
EN
Let U = {z : \z\ < 1} denote the unit disk. For A and B such that -1
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