Initial coefficient estimates for a classes of m-fold symmetric bi-univalent functions involving Mittag-Leffler function
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.
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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 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 this paper we introduce some new subclasses of the class σ of bi-univalent functions and obtain bounds for the initial coefficients of the Taylor series expansion of functions from the considered classes.
متن کاملCoefficient 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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ژورنال
عنوان ژورنال: Mathematica Moravica
سال: 2020
ISSN: 1450-5932,2560-5542
DOI: 10.5937/matmor2002051k