Yagmur, Nihat; Orhan, Halit

The authors obtain the Fekete-Szegő inequality (according to parameters s and t in the regions2 + st + t2 < 3, s ≠ t and s + t ≠ 2, or in the region s2 + st + t2 > 3, s ≠ t and s+t ≠ 2) for certain normalized analytic functions f(z) belonging to (Formula presented.) which satisfy the condition(Formula presented.) Also certain applications of the main result a class of functions defined by the Hadamard product (or convolution) are given. As a special case of this result, the Fekete-Szegő inequality for a class of functions defined through fractional derivatives is obtained.