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For 1 ≤ α < 2, let F(α) denote the class of locally univalent normalized analytic functions f(z) = z + ∑∞ n=2 anzn in the unit disk D = {z ∈ C : |z| < 1} satisfying the condition Re(1 + zf′′(z)/ f′(z)) > α/2 − 1.
In the present paper, we shall obtain the sharp upper bound for Fekete- Szeg¨o functional |a3 − λa22 | for the complex parameter λ.
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참고문헌 (23)
참고문헌 신청
A. Pfluger / 1985 / The Fekete-Szeg¨o inequality by a variational method / Ann. Acad. Sci. Fenn. Ser. A I Math 10 : 447 ~ 454
A. Pfluger / 1986 / The Fekete-Szeg¨o inequality for complex parameters / Complex Variables Theory Appl 7 (1-3) : 149 ~ 160
A. Vasudevarao / 2014 / An arclength problem for some subclasses of univalent functions / J. Analysis
B. Bhowmik / 2011 / On the Fekete-Szeg¨o problem for concave univalent functions / J. Math. Anal. Appl 373 (2) : 432 ~ 438
F. R. Keogh / 1969 / A coefficient inequality for certain classes of analytic functions / Proc. Amer. Math. Soc 20 (1) : 8 ~ 12
A. Pfluger / 1986 / The Fekete-Szeg¨o inequality for complex parameters / Complex Variables Theory Appl 7 (1-3) : 149 ~ 160
A. Vasudevarao / 2014 / An arclength problem for some subclasses of univalent functions / J. Analysis
B. Bhowmik / 2011 / On the Fekete-Szeg¨o problem for concave univalent functions / J. Math. Anal. Appl 373 (2) : 432 ~ 438
F. R. Keogh / 1969 / A coefficient inequality for certain classes of analytic functions / Proc. Amer. Math. Soc 20 (1) : 8 ~ 12
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