Title of article :
SUBCLASSES OF MULTIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH SIGMOID FUNCTION and BERNOULLI LEMNISCATE
Author/Authors :
OLATUNJI, S.O Department of Mathematical Sciences - Federal University of Technology - Akure, Nigeria , DUTTA, H Department of Mathematics - Gauhati University - Guwahati, India
Abstract :
In this present work, subclasses of multivalent functions of complex order
associated with simple logistic sigmoid activation function and Bernoulli Lemniscate
were investigated. Early few coefficient bounds, relevant connection to Fekete-Szego
inequalities and second Hankel determinant for the two classes ML(p, λ, b, Φm,n) and
GL(p, λ, b, Φm,n) were obtained. Our results are new in this direction and give birth to
many corollaries.
Keywords :
Analytic function , Univalent function , Subordination , Coefficient bounds , Fekete-Szego Inequality , Hankel determinant , Sigmoid function , Bernoulli Lemniscate
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
