الفهرس 
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Abstract
The purpose of this thesis is to de ne and study properties for certain classes of univalent
and pvalent functions de ned in the open unit disc U = fz 2 C : jzj < 1g; where C is the
complex plane. These classes are de ned by using some linear operators, integral operators,
Hadamard product (or convolution) and higher order derivative .
Let A denote the class of all functions of the form
f(z) = z +
1X
k=2
akzk; (1)
which are analytic in U. Also let S denote the subclass of functions of A which are univalent
in U: Further let T the subclass of S all functions of the form:
f(z) = z
1X
k=2
akzk (ak 0) :
For two functions f(z) and g (z) in A given by g(z) = z+
1P
k=2
bkzk; the Hadamard product
(or convolution) (f g)(z) is de ned by
(f g)(z) = z +
1P
k=2
akbkzk = (g f)(z):
De nition 1 [70]. A function f(z) 2 S is said to be starlike of order if and only if
Re
zf0(z)
f(z)
> ;
for some (0 < 1) and for all z 2 U: The class of all starlike functions of order is
denoted by S ( ) :
De nition 2 [70]: A function f(z) belonging to S is said to be convex of order if and
only if
Re
1 +
zf00(z)
f0(z)
> ;
for some (0 < 1) and for all z 2 U: The class of all convex functions of order is
denoted by K ( ) :