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NEW SUFFICIENT CONDITIONS FOR STARLIKE AND CONVEX FUNCTIONS

Year 2014, Volume: 4 Issue: 1, 74 - 79, 01.06.2014

Abstract

Let A be the class of analytic functions f z in the open unit disc. Applying the subordination, some sufficient conditions for starlikeness and convexity are discussed.

References

  • Miller, S. S., Mocanu, P. T. and Reade, M. O., (1984), Subordination preserving integral operators, Trans. Amer. Math. Soc., 283, 605-615.
  • Robertson, M. S., (1936), On the theory of univalent functions, Ann. of Math., 38, 374-408.
  • Singh, V. and Tuneski, N., (2004), On a criteria for starlikeness and convexity of analytic functions, Acta Math. Sci., 24 (B4), 597-602.
  • Tuneski, N., (2009), Some simple sufficient conditions for starlikeness and convexity, Appl. Math. Letters, 22, 693-697.
Year 2014, Volume: 4 Issue: 1, 74 - 79, 01.06.2014

Abstract

References

  • Miller, S. S., Mocanu, P. T. and Reade, M. O., (1984), Subordination preserving integral operators, Trans. Amer. Math. Soc., 283, 605-615.
  • Robertson, M. S., (1936), On the theory of univalent functions, Ann. of Math., 38, 374-408.
  • Singh, V. and Tuneski, N., (2004), On a criteria for starlikeness and convexity of analytic functions, Acta Math. Sci., 24 (B4), 597-602.
  • Tuneski, N., (2009), Some simple sufficient conditions for starlikeness and convexity, Appl. Math. Letters, 22, 693-697.
There are 4 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

J. Nishiwaki This is me

S. Owa This is me

Publication Date June 1, 2014
Published in Issue Year 2014 Volume: 4 Issue: 1

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