Çakmak, Ali; Es, Hasan; Karacan, Murat Kemal; Kiziltug, Sezai

In this study, we classify surfaces of revolution of Type 1 in the three dimensional Galilean space G3 in terms of the position vector field, Gauss map, and Laplacian operator of the first and the second fundamental forms on the surface. Furthermore, we give a classification of surfaces of revolution of Type 1 generated by a non-isotropic curve satisfying the pointwise 1-type Gauss map equation.

Orhan, Halit; Yagmur, Nihat; Caglar, Murat

In this present work, the authors obtain Fekete-Szegö inequality for certain normalized analytic function f(z) defined on the open unit disk for which lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szegö inequality for a class of functions defined through fractional derivatives are obtained.