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The estimate of third Hankel determinant H3,1(f) = [수식] of the analytic function f(z) = z + a2z2 + a3z3 + · · · , for which ℜ(1 + zf′′(z)/f′(z)) > −1/2 are investigated. The corrected version of a known results [2, Theorem 3.1 and Theorem 3.3] are also obtained.
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참고문헌 (28)
참고문헌 신청
A. Janteng / 2006 / Coefficient inequality for a function whose derivative has a positive real part / J. Inequal. Pure Appl. Math 7 (2) : 5 ~
B. Bhowmik / 2011 / On the Fekete-Szeg¨o problem for concave univalent functions / J. Math. Anal. Appl 373 (2) : 432 ~ 438
B. Kowalczyk / 2014 / The Fekete-Szeg¨o inequality for close-to-convex functions with respect to a certain starlike function dependent on a real parameter / J. Inequal. App
C. Pommerenke / 1966 / On the coefficients and Hankel determinant of univalent functions / J. Lond. Math. Soc 41 : 111 ~ 122
D. Bansal / 2013 / Upper bound of second Hankel determinant for a new class of analytic functions / Appl. Math. Lett 26 (1) : 103 ~ 107
B. Bhowmik / 2011 / On the Fekete-Szeg¨o problem for concave univalent functions / J. Math. Anal. Appl 373 (2) : 432 ~ 438
B. Kowalczyk / 2014 / The Fekete-Szeg¨o inequality for close-to-convex functions with respect to a certain starlike function dependent on a real parameter / J. Inequal. App
C. Pommerenke / 1966 / On the coefficients and Hankel determinant of univalent functions / J. Lond. Math. Soc 41 : 111 ~ 122
D. Bansal / 2013 / Upper bound of second Hankel determinant for a new class of analytic functions / Appl. Math. Lett 26 (1) : 103 ~ 107
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