Coefficient bounds for a subclass of Sakaguchi type functions using Chebyshev polynomial
نویسندگان
چکیده
منابع مشابه
Coefficient Inequalities for Certain Classes of Sakaguchi Type Functions
for complex numbers s, t with s ∕= t and for α(0 ≤ α < 1). Sufficient condition involving coefficient inequalities for f(z) to in the class S(α, t) and T (α, s, t) are obtained, where f(z) ∈ T (α, s, t) if and only if zf ′(z) ∈ S(α, s, t). Our main result contain some interesting corollaries (known or new) as special cases.
متن کاملCertain Coefficient Estimates for Bi-univalent Sakaguchi Type Functions
Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f−1 satisfying the conditions that zf ′(z)/f(z) and zg′(z)/g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier kn...
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.
متن کاملCoefficient Estimates for a General Subclass of m-fold Symmetric Bi-univalent Functions by Using Faber Polynomials
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.
متن کاملCoefficient Inequality for a Sub-class of Generalized Sakaguchi Type Functions
In this paper, we investigated the upper bounds of |a3 − μa2|, μ real, for a subclass of generalized Sakaguchi type functions of the form f(z) = z + ∑∞ n=2 anz n, in the unit disc E = {z : |z| < 1}. Results due to various authors follows as special cases. 2010 Mathematics Subject Classification. 30C50.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Periodicals of Engineering and Natural Sciences (PEN)
سال: 2018
ISSN: 2303-4521
DOI: 10.21533/pen.v6i1.279