On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers
نویسندگان
چکیده
منابع مشابه
On a class of starlike functions related to a shell-like curve connected with Fibonacci numbers
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 ...
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f (0) = 0, f (0) = 1 and zf (z) f ′(z) ≺ τ z + 2τ 2z2 1 − τ z − τ 2z2 (z ∈ ∆), where, the number τ = (1− √ 5)/2 is such that |τ | fulfils the golden section of the segment [0, 1]. Some relevant remarks and useful connections of the main results are also pointed out. © 2011 Elsevier Ltd. All rights reserved.
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2013
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2012.10.023