SUBCLASSES OF MULTIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH SIGMOID FUNCTION AND BERNOULLI LEMNISCATE

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.