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
Related Articles
- EP ID EP314959
- DOI 10.5614/j.math.fund.sci.2017.49.3.5
- Views 114
- Downloads 0
New Generalized Algorithm for Developing k-Step Higher Derivative Block Methods for Solving Higher Order Ordinary Differential Equations
This article presents a new generalized algorithm for developing k-step (m+1)th derivative block methods for solving mth order ordinary differential equations. This new algorithm utilizes the concept from the conventiona...
In Vitro Regeneration of Foxtail Millet (Setaria italica (L.) Beauv.) cv. Buru Hotong
In vitro regeneration of foxtail millet (Setaria italica (L.) Beauv.) was done using basal shoot explants of 10-day old seedlings. Explants were cultured in MS basal medium supplemented with 2,4-dichlorophenoxyacetic aci...
Approximate Solutions of Multi-Pantograph Type Delay Differential Equations Using Multistage Optimal Homotopy Asymptotic Method
In this paper, a numerical procedure called multistage optimal homotopy asymptotic method (MOHAM) is introduced to solve multi-pantograph equations with time delay. It was shown that the MOHAM algorithm rapidly provides...
Regeneration of Plantlets Through PLB (Protocorm-Like Body) Formation in Phalaenopsis ‘Join Angle X Sogo Musadian’
Selection and regeneration of specific hybrids of Phalaenopsis typically takes a long time since this plant usually reproduces through seeds. This study was conducted to examine the best medium and explants for regenerat...
Approximate Solutions of Linearized Delay Differential Equations Arising from a Microbial Fermentation Process Using the Matrix Lambert Function
In this paper we present approximate solutions of linearized delay differential equations using the matrix Lambert function. The equations arise from a microbial fermentation process in a metabolic system. The delay term...