الفهرس 
INTRODUCTIONOnly 14 pages are availabe for public view
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Abstract
The aim of this thesis is to obtain numerous applications of the Erde´lyi-Kober type integral operator concerning analytic and p-valent (or multivalent) functions in the punctured open unit disc ∆∗ by introducing new classes and deriving new properties.
This thesis consists of five chapters:
Chapter 1: In this chapter, we present some definitions and notation of harmonic mappings in the plane and univalent functions in the open unit disc. We refer to some linear operators on analytic functions. we recall some concepts of differential subordination and superordination, sandwich theorems.
Chapter 2: In this chapter, we derive several results for inclusion, subordination and convolution properties for subclasses of p-valent meromorphic functions involving the Erde´lyi-Kober type integral operator I_pμ^ac.
Chapter 3: In this chapter, we study some properties for subclasses of p-valent meromorphic function. The main objective of this chapter is to apply a method based on the differential subordination and superordination in order to derive some new differential subordination, superordination and sandwich theorems for p-valent meromorphic functions in punctured open unit disc ∆∗ involving a linear Operator L_pη^mτ (a;c;μ).
Chapter 4: In this chapter, we derive some conditions on modified Poisson distribution series to be in subclasses of analytic function.
Chapter 5: In this chapter, we introduced the classes M_H^l (m;n;Φ;Ψ;γ) and V_H^l (m;n;Φ;Ψ;γ), l∈{0;1} consisting of harmonic univalent functions f=h+g ̅. We aim to study the coefficients estimate and distortion theorems. Further, some results of extreme properties, convex combination and family of integral operators are given. Also, we study the generalized convolution for the subclasses HV(γ)⊂V_H (γ), HU(γ)⊂U_H (γ) (1<γ≤4/3) and HR(β)⊂R_H (β) (1<β≤2).