Coefficients Bounds for a General Subclasses of m-Fold Symmetric Bi-Univalent Functions
نویسندگان
چکیده
منابع مشابه
Coefficient Estimates for a New Subclasses of m-fold Symmetric Bi-Univalent Functions
The purpose of the present paper is to introduce two new subclasses of the function class ∑m of bi-univalent functions which both f and f-1 are m-fold symmetric analytic functions. Furthermore, we obtain estimates on the initial coefficients for functions in each of these new subclasses. Also we explain the relation between our results with earlier known results.
متن کاملCoefficient estimates for general subclasses of m-fold symmetric analytic bi-univalent functions
In this work, we introduce and investigate two new subclasses of the bi-univalent functions in which both f and f−1 are m -fold symmetric analytic functions. For functions in each of the subclasses introduced in this paper, we obtain the coefficient bounds for |am+1| and |a2m+1| .
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In the present paper, we introduce a new subclass H∑m (λ,β)of the m-fold symmetric bi-univalent functions. Also, we find the estimates of the Taylor-Maclaurin initial coefficients |am+1| , |a2m+1| and general coefficients |amk+1| (k ≥ 2) for functions in this new subclass. The results presented in this paper would generalize and improve some recent works of several earlier authors.
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In the present work, the author determines some coefficient bounds for functions in a new class of analytic and bi-univalent functions, which are introduced by using of polylogarithmic functions. The presented results in this paper one the generalization of the recent works of Srivastava et al. [26], Frasin and Aouf [13] and Siregar and Darus [25].
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ژورنال
عنوان ژورنال: Journal of Al-Qadisiyah for computer science and mathematics
سال: 2017
ISSN: 2521-3504,2074-0204
DOI: 10.29304/jqcm.2017.9.2.141