Abstract
For λ ≥ 0 and 0 ≤ α < 1< β, we denote by K(λ; α ; β) the class of normalized analytic functions satisfying the two sided-inequality (Equation found) where U is the open unit disk. Let (Equation found) be the class of bi-univalent functions such that f and its inverse f-1both belong to the class K(λ; α ; β). In this paper, we establish bounds for the coeffcients, and solve the Fekete-Szegő problem, for the class K(λ; α ; β). Furthermore, we obtain upper bounds for the first two Taylor-Maclaurin coeffcients of the functions in the class K∑(λ; α ; β).
Original language | English |
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Pages (from-to) | 351-360 |
Number of pages | 10 |
Journal | Filomat |
Volume | 29 |
Issue number | 2 |
DOIs | |
State | Published - 2015 |
Externally published | Yes |
Keywords
- Bi-univalent function
- Coeffcient bound
- Univalent analytic function