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In this paper we apply the third-order differential subordination results to normalized analytic functions in the open unit disk. We obtain appropriate classes of admissible functions and find some sufficient conditions of functions to be starlike associated with Tamanoi's Schwarzian derivative of third order. Several interesting examples are also discussed.
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참고문헌 (13)
참고문헌 신청
A. A. Antonino / 2011 / Third-order differential inequalities and subordinations in the complex plane / Complex Var. Elliptic Equ 56 (5) : 439 ~ 454
D. Aharonov / 1969 / A necessary and sufficient condition for univalence of a meromorphic function / Duke Math. J 36 : 599 ~ 604
E. Schippers / 2000 / Distortion theorems for higher order Schwarzian derivatives of univalent functions / Proc. Amer. Math. Soc 128 (11) : 3241 ~ 3249
H. Tamanoi / 1996 / Higher Schwarzian operators and combinatorics of the Schwarzian deriv-ative / Math. Ann 305 (1) : 127 ~ 151
M. P. Jeyaraman / 2013 / Third-order differential subordination of analytic functions / Acta Univ. Apulensis Math. Inform 35 : 187 ~ 202
D. Aharonov / 1969 / A necessary and sufficient condition for univalence of a meromorphic function / Duke Math. J 36 : 599 ~ 604
E. Schippers / 2000 / Distortion theorems for higher order Schwarzian derivatives of univalent functions / Proc. Amer. Math. Soc 128 (11) : 3241 ~ 3249
H. Tamanoi / 1996 / Higher Schwarzian operators and combinatorics of the Schwarzian deriv-ative / Math. Ann 305 (1) : 127 ~ 151
M. P. Jeyaraman / 2013 / Third-order differential subordination of analytic functions / Acta Univ. Apulensis Math. Inform 35 : 187 ~ 202
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