Article
Full entry |
PDF
(0.2 MB)
Feedback
PDF
(0.2 MB)
Feedback
Keywords:
univalent; starlike; sharp result
univalent; starlike; sharp result
Summary:
In this paper some simple conditions on $f^{\prime }(z)$ and $f^{\prime \prime }(z)$ which lead to some subclasses of univalent functions will be considered.
References:
[1] Goodman, A. W.: Univalent Functions, Vol. I and II. Tampa, Florida, 1983. MR 0704183
[2] Krzyz, J.: A counter example concerning univalent functions. Folia Societaties Scientarium Lubliniensis Mat. Fiz. Chem. 2 (1962), 57–58.
[3] Mocanu, P. T.: Two simple conditions for starlikeness. Mathematica (Cluj) 34 (1992), 175–181. MR 1235503
[4] Obradović, M.: Simple sufficient conditions for starlikeness. Matematicki Vesnik. 49 (1997), 241–244. MR 1611761
[5] Mocanu, P. T.: Some starlikeness conditions for analytic functions. Rev. Roumaine Math. Pures. Appl. 33 (1988), 117–124. MR 0948445
[6] Halenbeck, D. J.: Ruscheweuh, S.: Subordination by convex functions. Proc. Amer. Math. Soc. 52 (1975), 191–195. DOI 10.1090/S0002-9939-1975-0374403-3 | MR 0374403
[7] Miller, S. S., Mocanu P. T.: Subordination-preserving integral operators. Trans. Amer. Math. Soc. 283 (1984), 605–615. DOI 10.1090/S0002-9947-1984-0737887-4 | MR 0737887
Search
Partner of
