- Analytic and geometric function theory
- Holomorphic and Operator Theory
- Crystal Structures and Properties
- Polymer Synthesis and Characterization
- Mathematical Inequalities and Applications
COMSATS University Islamabad
2022-2023
Government College University, Faisalabad
2021
In this paper, we give sharp bounds of the Hankel determinant H2(3)(f) for coefficients functions in class starlike related to a domain that is like three leaves. We also determinants H3(1)(f) and convex three-leaf-like domain.
Abstract This paper is concerned with Hankel determinants for starlike and convex functions related to modified sigmoid functions. Sharp bounds are given second third determinants.
In this paper, we find Hankel determinants and coefficient bounds for a subclass of starlike functions related to Booth lemniscate. particular, obtain the first four sharp bounds, order two three, Zalcman conjecture class functions.
Abstract The sharp bound for the third Hankel determinant coefficients of inverse function convex functions is obtained, thus answering a recent conjecture concerning invariance coefficient functionals functions.
Let $${\mathcal {S}}_{ch}^{*}$$ denote the class of analytic functions f in unit disk $${\mathbb {D}}:=\{z\in {\mathbb {C}}:|z|<1\}$$ with $$f\left( 0\right) =0$$ and $$f^{\prime } \left( =1$$ such that $$zf^{\prime }(z)/f(z)$$ is subordinated by $$z+\cosh (z)$$ {D}}$$ . We find radii problems inclusion results between some well-known classes functions. also investigate sharp coefficient bounds Hankel determinants order two for