الفهرس 
INTRODUCTIONOnly 14 pages are availabe for public view
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Abstract
This thesis consists of three chapters, Chapter I{Introduction} consists of 2 sections: 1-Introduction. 2-Definitions and basic results., Chapter II{Star - like ande convex functions in one direction of order (β)} consists of 4 chapters: 1-Introduction. 2-Coefficient estimates for classes Fβ and Iβ. 3-Radius of convexity for the subclass Fβ(σ). 4-Distortion theorems for Fβ (σ) and Iβ (σ).& Chapter III:{Close - to - convex and σ - convex functions in one direction of order (β)} consists of 3 sections: 1-Introduction. 2-Functions close - to - convex in one direction of order (β). 3-σ - convex functions in one direction of order (β).