On some simple sufficient conditions for univalence

Nikola Tuneski

Mathematica Bohemica (2001)

  • Volume: 126, Issue: 1, page 229-236
  • ISSN: 0862-7959

Abstract

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In this paper some simple conditions on f ' ( z ) and f ' ' ( z ) which lead to some subclasses of univalent functions will be considered.

How to cite

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Tuneski, Nikola. "On some simple sufficient conditions for univalence." Mathematica Bohemica 126.1 (2001): 229-236. <http://eudml.org/doc/248856>.

@article{Tuneski2001,
abstract = {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.},
author = {Tuneski, Nikola},
journal = {Mathematica Bohemica},
keywords = {univalent; starlike; sharp result; univalent; starlike; sharp result},
language = {eng},
number = {1},
pages = {229-236},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On some simple sufficient conditions for univalence},
url = {http://eudml.org/doc/248856},
volume = {126},
year = {2001},
}

TY - JOUR
AU - Tuneski, Nikola
TI - On some simple sufficient conditions for univalence
JO - Mathematica Bohemica
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 126
IS - 1
SP - 229
EP - 236
AB - 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.
LA - eng
KW - univalent; starlike; sharp result; univalent; starlike; sharp result
UR - http://eudml.org/doc/248856
ER -

References

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  1. Univalent Functions, Vol. I and II, Tampa, Florida, 1983. (1983) MR0704183
  2. A counter example concerning univalent functions, Folia Societaties Scientarium Lubliniensis Mat. Fiz. Chem. 2 (1962), 57–58. (1962) 
  3. Two simple conditions for starlikeness, Mathematica (Cluj) 34 (1992), 175–181. (1992) MR1235503
  4. Simple sufficient conditions for starlikeness, Matematicki Vesnik. 49 (1997), 241–244. (1997) MR1611761
  5. Some starlikeness conditions for analytic functions, Rev. Roumaine Math. Pures. Appl. 33 (1988), 117–124. (1988) MR0948445
  6. 10.1090/S0002-9939-1975-0374403-3, Proc. Amer. Math. Soc. 52 (1975), 191–195. (1975) MR0374403DOI10.1090/S0002-9939-1975-0374403-3
  7. 10.1090/S0002-9947-1984-0737887-4, Trans. Amer. Math. Soc. 283 (1984), 605–615. (1984) MR0737887DOI10.1090/S0002-9947-1984-0737887-4

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