On a Subclass of Harmonic Convex Functions of Complex Order
Author(s) -
N. Magesh,
S. Mayilvaganan
Publication year - 2012
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2012/496731
Subject(s) - mathematics , subclass , extreme point , convolution (computer science) , distortion (music) , convex combination , class (philosophy) , harmonic function , convex analysis , closure (psychology) , proper convex function , order (exchange) , convex function , regular polygon , harmonic , pure mathematics , convex hull , convex set , operator (biology) , mathematical analysis , combinatorics , convex optimization , geometry , cmos , repressor , electronic engineering , artificial intelligence , amplifier , chemistry , computer science , antibody , engineering , biology , biochemistry , quantum mechanics , machine learning , artificial neural network , transcription factor , market economy , immunology , physics , finance , economics , gene
We introduce and study a subclass of harmonic convex functions of complex order. Coefficient bounds, extreme points, distortion bounds, convolution conditions, and convex combination are determined for functions in this class. Further, we obtain the closure property of this class under integral operator
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom