Document Type : Research Paper
Author
Department of Mathematics, St. Joseph's Institute of Technology, OMR, Chennai - 600 119, Tamilnadu, India.
Abstract
On this study, two new subclasses of the function class $\Xi$ of bi-univalent functions of complex order defined in the open unit disc are introduced and investigated. These subclasses are connected to the Hohlov operator with $(\mathcal {P,Q})-$Lucas polynomial and meet subordinate criteria. For functions in these new subclasses, we also get estimates for the Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$. The results are also discussed as having a number of (old or new) repercussions.
Keywords
- Analytic functions
- Univalent functions
- Bi-univalent functions
- Bi-starlike and bi-convex functions
- Hohlov operator
- Gaussian hypergeometric function
- (P
- Q)-Lucas polynomial
Main Subjects
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