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 86
- Downloads 0
Quantitative Analysis of Color Combination from LED and Laser Light Sources Using Modified CIE 1931 Color Space Coordinates
In this study, a quantitative analysis was conducted based on the CIE 1931 color space to determine a number of color combinations of three LED (light emitting diode) light sources and three laser sources respectively. T...
Novel Ternary CoFe2O4/CuO/CoFe2O4 as a Giant Magnetoresistance Sensor
This paper reports the results of a study relating to the synthesis of a novel ternary CoFe2O4/CuO/CoFe2O4 thin film as a giant magnetoresistance (GMR) sensor. The CoFe2O4/CuO/CoFe2O4 thin film was prepared onto silicon...
Oligocene Cyclic Sedimentation Deduced from Taphonomic Analysis of Molluscs in Lacustrine Deposits of the Pematang Group, Pesada Well, Central Sumatra Basin
The Oligocene cycle of Pesada Well, Central Sumatra Basin, Indonesia is composed of a deepening-upward series of depositional cycles in a lacustrine environment affected by oscillations of the water level. Taphonomic ana...
Trees with Certain Locating-chromatic Number
The locating-chromatic number of a graph G can be defined as the cardinality of a minimum resolving partition of the vertex set V(G) such that all vertices have distinct coordinates with respect to this partition and eve...
The Study of Effect of Toxic Metal on Plant Growth Dynamics with Time Lag: A Two-Compartment Model
A two-compartment mathematical model is proposed for the study of individual plant growth dynamics with time lag due to the presence of toxic metals in the soil. It is assumed in the model that nutrient uptake by the roo...