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SOME NOTES ON EXTENSIONS OF BASIC UNIVALENCE CRITERIA

  • Deniz, Erhan (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE ATATURK UNIVERSITY) ;
  • Orhan, Halit (DEPARTMENT OF MATHEMATICS FACULTY OF SCIENCE ATATURK UNIVERSITY)
  • Received : 2009.06.28
  • Published : 2011.01.01

Abstract

The object of the present paper is to obtain a more general condition for univalence of analytic functions in the open unit disk U. The significant relationships and relevance with other results are also given. A number of known univalent conditions would follow upon specializing the parameters involved in our main results.

Keywords

analytic functions;univalent function;univalence condition;Loewner chain

References

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  2. Sufficient conditions for univalence and quasiconformal extensions vol.46, pp.1, 2015, https://doi.org/10.1007/s13226-015-0106-y
  3. p-subordination chains and p-valence criteria vol.2013, pp.1, 2013, https://doi.org/10.1186/1029-242X-2013-127