On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator
Journal Title: Journal of Mathematical and Fundamental Sciences - Year 2017, Vol 49, Issue 3
Abstract
In 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.
Authors and Affiliations
Khalid Challab, Maslina Darus, Firas Ghanim
Keywords
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- EP ID EP314959
- DOI 10.5614/j.math.fund.sci.2017.49.3.5
- Views 104
- Downloads 0
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