NEW GENERALIZED SUBCLASSES OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH FRACTIONAL DIFFERENTIAL OPERATOR

Uday H. Naik; Raisa M. Shaikh

Uday H. Naik Department of Mathematics, Willigdon College, Sangli - 416415, Maharashtra, INDIA

Raisa M. Shaikh Department of Mathematics, Shivaji University, Kolhapur - 416001, Maharashtra, INDIA

Volume 17, Issue 3 Pages 73-82 December 30, 2021 297 downloads

Article overview

Abstract

Motivated by work of Srivastava-Owa, we define new generalized subclasses of bi-univalent functions defined in the open unit disk which are associated with fractional differential operator. Furthermore, we have obtained estimates of the coefficients $|a_{2}|$ and $|a_{3}|$ for the functions belonging to these subclasses.

Keywords and Phrases

Univalent functionSrivastava-Owa fractional operatorsbi-univalent functioncoefficient estimates.

AMS Subject Classification

30C45, 30C50.

Reference information

How to Cite

Uday H. Naik, Raisa M. Shaikh (2021). NEW GENERALIZED SUBCLASSES OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH FRACTIONAL DIFFERENTIAL OPERATOR. South East Asian Journal of Mathematics and Mathematical Sciences, 17(3), 73-82.

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