Open AccessOn Certain New Subclass of Sakaguchi Type Function Related to Sigmoid Functions
Author(s) -
B. Srutha Keerthi,
M. Revathi
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i4.36.24238
Subject(s) - sigmoid function , subclass , mathematics , type (biology) , function (biology) , class (philosophy) , pure mathematics , unit disk , analytic function , object (grammar) , mathematical analysis , computer science , artificial intelligence , evolutionary biology , artificial neural network , antibody , immunology , biology , ecology
The object of the present paper is to obtain initial coefficients | |,| |,| |, upper bounds of | | and second Hankel determinant associated with a class of analytic univalent function of sakaguchi type function related to sigmoid function in the open unit disc ∆. Various authors as Abiodum, Tinuoye Oladipo, Murugusundaramoorthy et. al., and Olatunji have studied sigmoid function for different classes of analytic and univalent functions. Our results serves as a generalisation in this direction and it gives birth some existing subclasses of functions.