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On univalent functions defined by a generalized differential operator

100%

Ibrahim R. W. , Darus M.

Journal of Applied Analysis

2010

tom Vol. 16, nr 2

305-313

The object of this paper is to derive some inclusion relations regarding a new class by using the generalized differential operator due to the authors.

A note on q-calculus

100%

Ezeafulukwe U. A. , Darus M.

Fasciculi Mathematici

2015

tom Nr 55

53--63

In this article, we let PCq denote the class of q—convex functions. Certain analytic properties of the class PCq are studied. The maximum of the absolute value of the Fekete-Szegö functional is briefly determined.

On coefficient problems of an operator with respect to symmetric point

100%

Terwase A. P. , Darus M.

Fasciculi Mathematici

2016

tom Nr 57

147--155

In this research work, we study the properties of a certain differential subordination involving an operator with respect to a symmetric point. We establish coefficient estimates as our main results.

Coefficient inequalities for certain classes of analytic functions associated with the Wright generalized hypergeometric function

80%

Frasin B. A. , Darus M. , Al-Hawary T.

Journal of Mathematics and Applications

2011

tom Vol. 34

27-34

In this paper, we obtain sufficient condition involving coefficient inequalities for f(z) to in the class [...] of analytic functions defined in the open unit disk and satisfying the analytic criterion [...]. Our main result contain some interesting corollaries as special cases.