Journal of Kufa for Mathematics and Computer

We generalized a class of Bazilevic type functions as defined in the open unit disk associated with a
differential operator satisfying some subordination conditions. As well as, we obtained coefficient
bounds and Fekete Szego bounds for functions in this subclass.

In this paper, we introduce and discuss a certain subclass of univalent functions in the open
unit disc, we obtain some properties like coefficient estimates and results of integral means by using differential
subordination.

—A differential equation of the form ((
)

)


integers is called a near-Legendre equation. We show that such an equation has infinitely many polynomial solutions
corresponding to infinitely many λ. We list all of these equations for . We show, for , that these
solutions are 'partially' orthogonal with respect to some weight functions and show how to expand functions using
these polynomials. We give few applications to partial differential equations.

A Modified version of Joint Approximation Diagonalization Estimation of Real
Signals algorithm (JADER) is proposed to enhance efficiency and speed of Blind Signal Separation
(BSS). MJADER based on the mixture's dimensions minimization step, where the cumulant matrices
have been estimated using a reduced-dimension observed mixture. The approach (M-JADER) is based
on a threshold step, it is easy to implement, computationally efficient and faster than standard
JADER about 50% where it has less running time. The comparison done under tow types of
niose(semi-white Gaussian noise and Uniform noise).

The aim of this paper is to introduce new types of separation axioms which are ZT2
space and semi-ZT2 space, with examples and theorems. The relationships between them and with each
of T2 and semi-T2 spaces have been given. The product of two ZT2 (semi-ZT2) spaces is ZT2 (semiZT2) space.