Coefficient estimates for a subclass of analytic and bi-univalent functions | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 23, Issue 2, 2015, Page 242-246 | ||||
Document Type: Original Article | ||||
DOI: 10.1016/j.joems.2014.04.002 | ||||
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Authors | ||||
H.M. Srivastava* 1; Deepak Bansal2 | ||||
1Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada | ||||
2Department 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. | ||||
Keywords | ||||
Analytic functions; Univalent functions; Subordination between analytic functions; Schwarz function; Bi-univalent functions; Koebe function | ||||
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