Abstract.A new class of analytic functions of complex order is defined using a generalized differential operator. Coefficient inequalities, sufficient condition and an interesting subordination result are obtained. (2000): 30C45, 30C50. Mathematics subject classification

In this paper, we introduce two new subclasses of the function class Σ of bi-univalent functions defined in the open unit disc based on Hohlov Operator. Furthermore, we find estimates on the coefficients |a 2 | and |a 3 | for functions in these new subclasses. Also consequences of the results are pointed out.

Let R be a ring. A left R-module M is said to be sfp-injective if, for every exact sequence 0 → K → L with K and L super finitely presented left R-modules, the induced sequence Hom(L, M) → Hom(K, M) → 0 is exact. A right R-module N is called sfp-flat if, for every exact sequence 0 → K → L with K and L super finitely presented left R-modules, the induced sequence 0 → N ⊗ K → N ⊗ L is exact. We study precovers and preenvelopes by sfp-injective and sfp-flat modules, including their properties under (almost) excellent extensions of rings

In this paper, we define the some mapping properties of two subclasses of analytic function classes S λ α (b) and C λ α (b) under generalized integral operator.

In the present paper, we introduce and investigate some new subclasses of α-starlike and α -close to convex functions with respect to symmetric conjugate points. Inclusion relationships, integral representations and some interesting convolution properties for these functions are obtained.