Open AccessON A CERTAIN CONVOLUTION OPERATOR FOR MEROMORPHIC FUNCTIONS
Author(s) -
Ming-Po Chen,
Shigeyoshi Owa
Publication year - 1995
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.25.1994.4444
Subject(s) - meromorphic function , convolution (computer science) , mathematics , alpha (finance) , operator (biology) , object (grammar) , pure mathematics , algebra over a field , discrete mathematics , computer science , artificial intelligence , statistics , construct validity , biochemistry , chemistry , repressor , artificial neural network , transcription factor , gene , psychometrics
A certain convolution operator $D^\alpha f(z)$ for meromorphic functions and two subclasses $M(\alpha)$ and $J(\alpha)$ are introduced. The object of the present paper is to derive some properties of the classes $M(\alpha)$ and $J(\alpha)$. The results of the paper are the generalizations and the improvements of the former results.