Coefficient Estimates for Initial Taylor-Maclaurin Coefficients for a New Family of Bi-univalent and Analytic Functions Defined Using the Integral Operator
Ranjan S. Khatu *
Department of Mathematics, Shriram Kusumtai Sadashiv Vanjare College, Lanja 416701, India.
*Author to whom correspondence should be addressed.
Abstract
In this research, a new subclass of analytic and bi-univalent function is defined on the open unit disc \(\mathbb{U}\) = {z \(\in\) \(\mathbb{C}\) : |z| < 1} using the integral operator and then the initial coefficient bounds for |a2| and |a3| are derived. Later on, the many interesting results are discussed which are obtained as the special cases of our main result.
Keywords: Bi-univalent functions, coefficient bounds, subordination, integral operator