Bounds on third Hankel determinant for certain classes of analytic functions
DOI:
https://doi.org/10.24193/subbmath.2017.2.05Keywords:
Analytic, Starlike and Convex functions, Fekete-Szego functional, Hankel determinants.Abstract
In this paper, the estimate for the third Hankel determinant H_{3,1}(f) of Taylor coefficients of function f(z) = z +\sum_{n=2}{\infty} a_n z^n, belonging to certain classes of analytic functions in the open unit disk D, are investigated.
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- Bounds on third Hankel determinant for certain classes of analytic functions
- Figure 1. Mapping of _1(c, \mu) over \Omega
- Figure 2. Mappings of F_2(c, \mu) over \Omega
- Figure 3. Mapping of F_3(c, \mu) over \Omega
- Figure 4. Mapping of F_4(c, \mu) over \Omega
- Figure 5. Mapping of F_5(c, \mu) over \Omega
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