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

H. M. Srivastava | Zendy; Serap Bulut | Zendy; Murat Ҫaǧlar | Zendy; Nihat Yağmur | Zendy

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

Author(s) -

H. M. Srivastava,

Serap Bulut,

Murat Ҫaǧlar,

Nihat Yağmur

Publication year - 2013

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1305831s

Subject(s) - mathematics , subclass , analytic function , unit disk , class (philosophy) , unit (ring theory) , pure mathematics , taylor series , combinatorics , mathematical analysis , mathematics education , antibody , artificial intelligence , computer science , immunology , biology

In this paper, we introduce and investigate an interesting subclass NΣh,p (λ, μ) of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class NΣh,p (λ, μ), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would generalize and improve some recent works of Caǧlar et al. [3], Xu et al. [10], and other authors.

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