Open AccessON A CLASS OF CERTAIN ANALYTIC FUNCTIONS OF COMPLEX ORDER
Author(s) -
Vinod Kumar,
Shobha Shukla,
Ashu Chaudhary
Publication year - 1990
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.21.1990.4643
Subject(s) - mathematics , class (philosophy) , analytic function , convolution (computer science) , order (exchange) , maximization , pure mathematics , radius , mathematical optimization , computer science , computer security , finance , artificial intelligence , machine learning , artificial neural network , economics
We introduce a class, namely, $F_n(b,M)$ of certain analytic functions. For this class we detennine coefficient estimate, sufficient condition in terms of coefficients, maximization theonne concerning the coefficients, radius problem and a necessary and sufficient condition in terms of convolution. Our results generalize and correct some results of Nasr and Aouf ([2],[3]).