Coefficient inequality for a function whose derivative has a positive real part of order $\alpha $
- Krishna, Deekonda Vamshee
- Ramreddy, Thoutreddy
DOIAbstract
summary:The objective of this paper is to obtain sharp upper bound for the function $f$ for the second Hankel determinant $|a_{2}a_{4}-a_{3}^{2}|$, when it belongs to the class of functions whose derivative has a positive real part of order $\alpha $ $(0\leq \alpha <1)$, denoted by $ RT(\alpha )$. Further, an upper bound for the inverse function of $f$ for the nonlinear functional (also called the second Hankel functional), denoted by $|t_{2}t_{4}-t_{3}^{2}|$, was determined when it belongs to the same class of functions, using Toeplitz determinants
Add to ORKG