On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers
2013
Dziok, Jacek | Raina, Ravinder Krishna | Sokół, Janusz
In this paper we investigate an interesting subclass SL of analytic univalent functions in the open unit disc on the complex plane. This class was introduced by Sokół [J. Sokół, On starlike functions connected with Fibonacci numbers, Folia Scient. Univ. Tech. Resoviensis 175 (1999) 111–116]. The class SL is strongly related to the class KSL considered earlier by the authors of the present work in their paper [J. Dziok, R. K. Raina, J. Sokół, Certain results for a class of convex functions related to shell-like curve connected with Fibonacci Numbers, Comput. Math. Appl. 61 (2011) 2606–2613]. Apart from furnishing some genuine remarks, we present certain new results for the class SL of functions, and also mention some relevant cases for this function class.
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