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NEIGHBORHOODS OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
Darwish, Hanan E.,Aouf, Mohamed K. Korean Mathematical Society 2011 대한수학회보 Vol.48 No.4
The main object of this paper is to prove several inclusion relations associated with (j, ${\delta}$)-neighborhoods of various subclasses defined by Salagean operator by making use of the familiar concept of neighborhoods of analytic functions. Special cases of some of these inclusion relations are shown to yield known results.
Neighborhoods of certain subclasses of analytic functions with negative coefficients
Hanan E. Darwish,Mohamed K. Aouf 대한수학회 2011 대한수학회보 Vol.48 No.4
The main object of this paper is to prove several inclusion relations associated with (j,δ )-neighborhoods of various subclasses defined by Salagean operator by making use of the familiar concept of neighborhoods of analytic functions. Special cases of some of these inclusion relations are shown to yield known results.
DARWISH, HANAN ELSAYED,LASHIN, ABD AL-MONEM YOUSOF,SOILEH, SOLIMAN MOHAMMED Department of Mathematics 2015 Kyungpook mathematical journal Vol.55 No.3
Differential subordinations and superordinations results are obtained for certain meromorphic functions in the punctured unit disk which are associated with an integral operator. These results are obtained by investigating appropriate classes of a dmissible functions. Sandwich-type results are also obtained.
On Certain Subclasses of Starlike p-valent Functions
Darwish, Hanan Elsayed,Lashin, Abd-el Monem Yousof,Soileh, Soliman Mohammed Department of Mathematics 2016 Kyungpook mathematical journal Vol.56 No.3
The object of the present paper is to investigate the starlikeness of the class of functions $f(z)=z^p+{\sum\limits_{k=n}^{\infty}}a_p+k^{z^{p^{+k}}} (p,n{\in}{\mathbb{N}}=\{1,2,{\ldots}\})$ which are analytic and p-valent in the unit disc U and satisfy the condition $\|(1-{\lambda}({\frac{f(z)}{z^p}})^{\alpha}+{\lambda}{\frac{zf^{\prime}(z)}{pf(z)}}({\frac{f(z)}{z^p}})^{\alpha}-1\|$ < ${\mu}$ (0 < ${\mu}{\leq}1$, ${\lambda}{\geq}0$, ${\alpha}$ > 0, $z{\in}U$). The starlikeness of certain integral operator are also discussed. The results obtained generalize the related works of some authors and some other new results are also obtained.
On A Subclass of Harmonic Multivalent Functions Defined by a Certain Linear Operator
Darwish, Hanan Elsayed,Lashin, Abdel Moneim Yousof,Sowileh, Suliman Mohammed Department of Mathematics 2019 Kyungpook mathematical journal Vol.59 No.4
In this paper, we introduce and study a new subclass of p-valent harmonic functions defined by modified operator and obtain the basic properties such as coefficient characterization, distortion properties, extreme points, convolution properties, convex combination and also we apply integral operator for this class.
On the Fekete-Szegö Problem for Starlike Functions of Complex Order
Hanan Darwish,Abdel-Moniem Lashin,Bashar Al Saeedi 경북대학교 자연과학대학 수학과 2020 Kyungpook mathematical journal Vol.60 No.3
For a non-zero complex number b and for m and n in N0 = {0, 1, 2, ...} let Ψn,m(b) denote the class of normalized univalent functions f satisfying the condition [1 + 1/b(Dn+mf(z)/Dnf(z) − 10]>0 in the unit disk U, where Dnf(z) denotes the Salagean operator of f. Sharp bounds for the Fekete-Szegö functional [a3 − µa22] are obtained.
Nofl Dareen,Darwishe Hanan,Chaaban Fadi,Mohammad Adnan 대한공간정보학회 2024 Spatial Information Research Vol.32 No.3
This study aimed to determine the surface deformation resulting from the earthquake on February 6, 2023, on the Turkish- Syrian border using Sentinel-1 SAR images and DInSAR techniques. The analysis was limited to pixels with a coherence value above 0.6 to reduce misinterpretations from phase decorrelation. Furthermore, the study aimed to map horizontal and vertical displacements within GIS environment, contributing to a processing methodology that reduces time and effort in detecting surface displacement over large spatial coverage. The results of this study revealed clear surface displacement patterns in northwest Syria and southern Turkey following the earthquake. These patterns encompass both westward and eastward horizontal shifts, as well as upward and downward vertical movements. Notably, the findings indicated significant upward and westward motion near Iskenderun, alongside eastward motion and complex vertical displacements in the Gaziantep/A’zaz/Zayzafun areas. To assess the precision of these displacements, they were compared to data from GPS stations within the study area, demonstrating good accuracy with Root Mean Square Errors (RMSE) of approximately ± 3.2 cm for Line-of-Sight (LOS) displacements and ± 3.7 cm for combined horizontal and vertical displacements. This research provides valuable insights into tectonic plate movements and carries implications for future seismic studies in the examined regions.