Hiba Fawzi Al-Janaby is a senior Lecturer in Department of Mathematics, University of Baghdad, Baghdad, Iraq. She received Ph.D degrees in mathematical science 2016 from Unimap (Universiti Malaysia Perlis).
Ph.D degrees in mathematical science
Complex Analysis Operator Theory Geometry Function Theory
Calculus (1) Calculus (2) Calculus (3) Complex Analysis (1) Complex Analysis (2) Complex Analysis_PhD Fuzzy Theory_ Master
1- Layth T. K. _Master 2- Anwar Hashim Muoreh-Master 3- Faten Fakher Abdulnabi-PhD
Complex-valued regular functions that are normalized in the open unit disk are vastly studied. The current study introduces a new fractional integrodifferential (non-linear) operator. Based on the pre-Schwarzian derivative, certain appropriate stipulations on the parameters included in this con-structed operator to be univalent and bounded are investigated and determined.
Recently, numerous the generalizations of Hurwitz-Lerch zeta functions are investigated and introduced. In this paper, by using the extended generalized Hurwitz-Lerch zeta function, a new Salagean’s differential operator is studied. Based on this new operator, a new geometric class and yielded coefficient bounds, growth and distortion result, radii of convexity, star-likeness, close-to-convexity, as well as extreme points are discussed.
According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to study operators is to utilize the convolution product. The dynamic techniques of convolution have attracted numerous complex analyses in current research. In this effort, an attempt is made by utilizing the said techniques to study a new linear complex operator connecting an incomplete beta function and a Hurwitz–Lerch zeta function of certain meromorphic functions. Furthermore, we employ a method based on the first-order differential subordination to derive new and better differential complex inequalities, namely differential subordinations.