Coefficient estimates for a subclass of analytic and bi-univalent functions
Srivastava, H., Bansal, D. (2015). Coefficient estimates for a subclass of analytic and bi-univalent functions. EKB Journal Management System, 23(2), 242-246. doi: 10.1016/j.joems.2014.04.002
H.M. Srivastava; Deepak Bansal. "Coefficient estimates for a subclass of analytic and bi-univalent functions". EKB Journal Management System, 23, 2, 2015, 242-246. doi: 10.1016/j.joems.2014.04.002
Srivastava, H., Bansal, D. (2015). 'Coefficient estimates for a subclass of analytic and bi-univalent functions', EKB Journal Management System, 23(2), pp. 242-246. doi: 10.1016/j.joems.2014.04.002
Srivastava, H., Bansal, D. Coefficient estimates for a subclass of analytic and bi-univalent functions. EKB Journal Management System, 2015; 23(2): 242-246. doi: 10.1016/j.joems.2014.04.002

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

Journal of the Egyptian Mathematical Society
Volume 23, Issue 2, 2015, Pages 242-246
Document Type: Original Article
DOI: 10.1016/j.joems.2014.04.002
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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