1 Introduction and preliminary concepts 1.1 Introduction 1.2 Preliminary results and definitions 1.2 1 Starlike functions 1.2 2 Convex functions 1.2 3 Close.to.convex functions 1.2.4 Multivalent functions 1.2.5 Certain classes of meromohic functions 1.2.6 Hadamard product/Convolution 1.2.7 ClassP of flmctionswithpositive real part 1.2.8 Differential subordination and superordination 1.2.9 Strong dim_rential subordination and superordination 1.2.10 Fractional operators 1.3 Summary 1.4 Glossary 1.5 List of publications 2 Certain New Classes of Analytic Functions 2.1 Introduction and preliminaries 2.2 Main inclusion relationship 2.3 Coefficmestimate 3 Certain Subclasses of p.Valent Alytinlncti 3.1 Introduction and preliminaries 3.2 Main inclusion relationships 3.3 Integral operator 4 A subclass of Close.to.convex Functions with Fekete.Szego Problem 4.1 Introduction and preliminariest 4.2 Properties of starlike functions 4.3 Inclusion relationships 4.4 Coefficm estimates 4.5 Covering theorem 46 Distortion theorem 4.7 Fekete��Szego problem 5 Certain Subclasses of Meromorphic Close.to.convex Functions 5.1 Introduction 5.2 The classes Jt4��C(A��B)and MK(t��A��B) 5.2.1 Properties ofmeromorphic starlike fuuctions 5.2.2 Coe��cient estimates 5.2.3 Distortion theorem 5.3 The class MK(i��A��B) 5.3.1 Properties ofthe class MS(������) 6 Differential Subordination and Superordination results for pvalent An alytic Functions 6.1 Introduction and preliminaries 6.2 Main results 6.3 Superordination results 7 Strong Differential Subordination and Superordination 7.1 Introduction and definitions 7.2 Main results 7.3 Superordination resultsforthe operatorIep ��݋��ӛ