Document Type : Research Paper
Authors
1 Department of Mathematics, Arts, Commerce and Science College, Lanja-416701, India
2 Department of Mathematics, Willingdon College, Sangli-416415, India
3 Department of First Year Engineering, AISSMS College of Engineering, Pune-411001, India
Abstract
In the present investigation, we introduce the two subclasses $S^{\alpha}_{\Sigma}(\gamma, \rho, \lambda, \mu, \xi, \delta)$ and $S_{\Sigma}(\gamma, \rho, \lambda, \mu, \xi, \delta;\beta)$ of normalized analytic bi-univalent functions defined in the open unit disk and associated with the Ruscheweyh's operator. Further, we obtain bounds for the second and third Taylor-Maclaurin coefficients of the functions belong to these subclasses. We also provide relevant connections with earlier investigations of other researchers.
Keywords