Coefficient estimates for a subclass of analytic and bi-univalent functions
نویسندگان
چکیده
منابع مشابه
coefficient estimates for a subclass of analytic and bi-univalent functions
in this paper, we introduce and investigate a subclass of analytic and bi-univalent functions in the open unit disk. upper bounds for the second and third coefficients of functions in this subclass are founded. our results, which are presented in this paper, generalize and improve those in related works of several earlier authors.
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For λ ≥ 0 and 0 ≤ α < 1 < β, we denote by K (λ;α, β) the class of normalized analytic functions satisfying the two sided-inequality α << ( z f ′(z) f (z) + λ z2 f ′′(z) f (z) ) < β (z ∈ U), where U is the open unit disk. Let KΣ(λ;α, β) be the class of bi-univalent functions such that f and its inverse f −1 both belong to the class K (λ;α, β). In this paper, we establish bounds for the coefficie...
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Motivated and stimulated especially by the work of Xu et al. [1], in this paper, we introduce and discuss an interesting subclass ( ) , Σ ψ λ of analytic and bi-univalent functions defined in the open unit disc . Further, we find estimates on the coefficients 2 a and 3 a for functions in this subclass. Many relevant connections with known or new results are pointed out.
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ژورنال
عنوان ژورنال: Journal of the Egyptian Mathematical Society
سال: 2015
ISSN: 1110-256X
DOI: 10.1016/j.joems.2014.04.002