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 113
  • Downloads 0

How To Cite

Khalid Challab, Maslina Darus, Firas Ghanim (2017). On a Certain Subclass of Meromorphic Functions Defined by a New Linear Differential Operator. Journal of Mathematical and Fundamental Sciences, 49(3), 269-282. https://europub.co.uk/articles/-A-314959