الفهرس 
IntroductionOnly 14 pages are availabe for public view
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Abstract
We obtained new subclasses of analytic functions associated with differential and integral operators, then we have studied coefficient estimates and other properties for these new subclasses.
Chapter 1:
In this chapter, we displayed some definitions which is considered the base for the next chapters such as univalent functions, p-valent functions, Hadamard (convolution) product, uniformly starlike(convex) functions, subordination, some differential and integral operators and the qth Hankel determinant for a subclass of analytic and univalent functions.
Chapter 2:
In this chapter, we discussed coefficient estimates, distortion theorems, closure theorems, integral operators, radii of closed to convexity, starlikeness and convexity, partial sums, inclusion properties, modified Hadamard product, integral means inequalities and neighborhoods properties for the class of analytic and p-valent functions. Let
be the class of analytic and p-valent functions of the form
(p ∈ N := {1,2,3,...}) which satisfies
,
where z ∈ 4 := {z : z ∈ C, |z| < 1}; −1 ≤ B < A ≤ 1; k > i; p > q; p,k ∈ N; i,q ∈ N0 := N ∪ {0}, b ∈ C − {0}, Dkfq(z) and Difq(z) given by
D .
j=p+1
Suppose Tp be the class of functions of the form
(aj > 0, p ∈ N := {1,2,3,...}),
which are analytic in the open unit disk 4.
We define the class .
Chapter 3:
In this chapter, we introduced the coefficient estimates for the class defined by
.
where and the fractional operator ψνf(z) given by
,
where ν is any real number and .
We also obtained the maximum value for for functions f(z) of the form which belongs to the subclass .
We also introduced subordinating factor sequence and integral means inequalities for functions f(z) which belongs to the subclass . Chapter 4:
In this chapter, We mentioned a new subclass of univalent and analytic functions Qµ(τ,λ,L,M) defined by
where L and M are fixed numbers such that −1 ≤ M < L ≤ 1, µ 6= 0 is any complex number and Sλτ is the generalized Jung-Kim-Srivastava integral operator defined by
for τ ≥ 0, λ > −1. Then we studied its coefficient estimates and other geometric properties such as distortion theorems and maximization theorem. Chapter 5:
In this chapter, we introduced two subclasses of uniformly starlike and convex functions of order σ and type δ associated with the Salagean operator with varying arguments following the two inequalities respectively
(1)
and
Dn+m+1f(z)
σ, (2)
where (0 ≤ σ < δ ≤ 1; q(1 − δ) < (1 − σ); z ∈ ∆), n ∈ N0 := N ∪ {0}, m ∈ N and Dnf(z) defined by D . We also obtained coefficient estimates, distortion theorems and extreme points for these subclasses.
Chapter 6:
In this chapter, we investigate the coefficient estimates and the second Hankel determinant for the functions f(z) of the form f(z) = which belongs to the subclass defined by
where is given by
∞
ψpk[θ]f(z) = z + XΓjajzj,
j=2
where
.
The obtained results of this thesis are formulated in five papers, four had been accepted for publication see [25,27–29] and one submitted.