Open AccessApplication of Ruscheweyh Derivative Operator on Meromorphic Functions in the Unit Disk
Author(s) -
K. A. Padmanabhan,
Rajalakshmi Rajagopal
Publication year - 2003
Publication title -
mapana journal of sciences
Language(s) - English
Resource type - Journals
ISSN - 0975-3303
DOI - 10.12723/mjs.2.4
Subject(s) - meromorphic function , unit disk , convolution (computer science) , operator (biology) , mathematics , differential operator , derivative (finance) , unit (ring theory) , pure mathematics , differential (mechanical device) , algebra over a field , computer science , economics , physics , artificial intelligence , mathematics education , biochemistry , chemistry , repressor , artificial neural network , transcription factor , financial economics , gene , thermodynamics
In this paper we introduced a certain convolution operator Dα+p-1 on meromorphic functions of the form f (z)=1/zp+Σanzn in 0<|z|<1 and deal with the application of the above operator to certain differential inequalities involving D α+p-1f.