A Class of Harmonic Meromorphic Functions of Complex Order
Journal Title: Bonfring International Journal of Data Mining - Year 2012, Vol 2, Issue 2
Abstract
The seminal work of Clunie and Sheil-Small [3] on harmonic mappings gave rise to studies on subclasses of complex-valued harmonic univalent functions. In this paper a class of harmonic meromorphic functions of the form f(z)=h(z)+g(z),|z| > 1 of complex order is introduced. It is shown that the functions in this class are sense preserving and univalent outside the unit disk. Sufficient coefficient conditions are obtained for functions in this class which are also shown to be necessary when the co-analytic part g(z) has negative coefficients. We also obtain properties such as distortion bounds, extreme points, convolution and convex combination for this class.
Authors and Affiliations
Ezhilarasi R, Subramania K. G, Sudharsan T. V
Keywords
Related Articles
- EP ID EP109138
- DOI 10.9756/BIJDM.1231
- Views 162
- Downloads 0
Health and Safety Measures in Chettinad Cement Corporation Limited, Karur
The cement industry plays an important role in the construction and engineering industry. This study aimed at finding out the views and awareness workers on health and safety measures in Chettinad Cement Corporation Limi...
Enhanced Sentiment based Text to Speech Synthesis Using Forward Parsing with Prosody Feature for English
Most of the prototypes and fully operational systems have been constructed based on various synthesis techniques. To produce the output of (TTS) in the same form as if it is actually spoken the prosody feature allows the...
Investigation of Managers' Perception about Employees' Learning Aptitude
Corporate sector is facing a cut throat competition these days. This competitive environment gives very less time to managers and supervisors to train their employees and make them learnt to meet their job requirements....
Recursive Backtracking for Solving 9*9 Sudoku Puzzle
Nowadays Sudoku is a very popular game throughout the world and it appears in different medias, including websites, newspapers and books. There are numerous methods or algorithms to find Sudoku solutions and Sudoku gener...
On Certain Subclasses of Analytic and Univalent Functions based on an Extension of Salagean Operator
There is many subclasses of analytic and univalent functions. A class T of functions with negative coefficients introduced by Silverman [8] opened up a new and fruitful line of research in the theory of univalent functio...