Some properties for α-starlike functions with respect to k-symmetric points of complex order
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2017, Vol 71, Issue 1
Abstract
In the present work, we introduce the subclass Tkγ,α(φ), of starlike functions with respect to k-symmetric points of complex order γ (γ≠0) in the open unit disc △. Some interesting subordination criteria, inclusion relations and the integral representation for functions belonging to this class are provided. The results obtained generalize some known results, and some other new results are obtained.
Authors and Affiliations
H. E. Darwish, A. Y. Lashin, S. M. Sowileh
Keywords
Related Articles
- EP ID EP304554
- DOI 10.17951/a.2017.71.1.1
- Views 128
- Downloads 0
Eccentric distance sum index for some classes of connected graphs
In this paper we show some properties of the eccentric distance sum index which is defined as follows ξd(G)=∑v∈V(G)D(v)ε(v). This index is widely used by chemists and biologists in their researches. We present a lower bo...
On the existence of connections with a prescribed skew-symmetric Ricci tensor
We study the so-called inverse problem. Namely, given a prescribed skew-symmetric Ricci tensor we find (locally) a respective linear connection.
The constructions of general connections on the fibred product of q copies of the first jet prolongation
We describe all natural operators A transforming general connections Gamma on fibred manifolds Y -> M and torsion-free classical linear connections Gamma on M into general connections A(Gamma, Lambda) on the fibred produ...
On the Courant bracket on couples of vector fields and p-forms
If m >= p+1 >= 2 (or m = p >= 3), all natural bilinear operators A transforming pairs of couples of vector fields and p-forms on m-manifolds M into couples of vector fields and p-forms on M are described. It is observed...
Spectral analysis of singular Sturm-Liouville operators on time scales
In this paper, we consider properties of the spectrum of a Sturm-Liouville operator on time scales. We will prove that the regular symmetric Sturm-Liouville operator is semi-bounded from below. We will also give some con...