4 research outputs found
On certain classes of meromorphic harmonic concave functions defined by Al-Oboudi operator
No full textIn this work, a class of meromorphic harmonic concave functions defined by Oboudi operator in
the punctured unit disc is introduced. Coefficient conditions, distortion inequalities, extreme
points, convolution bounds, geometric convolution, integral convolution and convex
combinations for functions f belonging to this class are obtained
Majorization for certain classes of meromorphic functions associated with a family of integral operator
No full textOn a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator
No full textIn this article, a new linear differential operator I^k (L_s^a (a_l,b_m )f(z)) is defined by using the Hadamard product of the q-hypergeometric function and a function related to the Hurwitz-Lerch zeta function. By using this linear differential operator, a new subclass L_(s,a)^(k,*) (α_l,β_m;A,B,b) of meromorphic functions is defined. Some properties and characteristics of this subclass are considered. These include the coefficient inequalities, the growth and distortion properties and the radii of meromorphic starlikeness and meromorphic convexity. Finally, closure theorems and extreme points are introduced
