Initial coefficient bounds for a subclass of m-fold symmetric bi-univalent functions | Zendy

Ahmad Zireh | Zendy; Saideh Hajiparvaneh | Zendy

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Initial coefficient bounds for a subclass of m-fold symmetric bi-univalent functions

Author(s) -

Ahmad Zireh,

Saideh Hajiparvaneh

Publication year - 2020

Publication title -

boletim da sociedade paranaense de matemática

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.347

H-Index - 15

eISSN - 2175-1188

pISSN - 0037-8712

DOI - 10.5269/bspm.41077

Subject(s) - subclass , unit disk , fold (higher order function) , mathematics , combinatorics , symmetric function , unit (ring theory) , pure mathematics , computer science , mathematics education , antibody , immunology , biology , programming language

In this paper, we introduce and investigate a subclass B Σm (τ , λ) of analytic and bi-univalent functions which both f(z) and f(z) are m-fold symmetric in the open unit disk U. Furthermore, we find upper bounds for the initial coefficients |am+1| and |a2m+1| for functions in this subclass. The results presented in this paper would generalize and improve some recent works.

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