Coefficient estimates for a subclass of analytic and bi-univalent functions

Document Type : Original Article

Authors

1 Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

2 Department of Mathematics, Government College of Engineering and Technology, Bikaner 334004, Rajasthan, India

Abstract

In the present investigation, we consider a new subclass Rðs; c; uÞ of the class R consisting
of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class
Rðs; c;uÞ introduced here, we obtain estimates on the first two Taylor–Maclaurin coefficients ja2j and
ja3j. Several related classes of analytic and bi-univalent functions in U are also considered and
connections to some of the earlier known results are pointed out.

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