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ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS

Year 2012, Volume: 41 Issue: 2, 271 - 275, 01.02.2012

Abstract

In this paper sufficient conditions for a function to be Janowski starlike with respect to N-symmetric points are given in terms of the quotient of analytical representations of starlikeness and convexity with respect to N-symmetric points

References

  • Janowski, W. Some extremal problems for certain families of analytic functions, I. Ann. Polon. Math. 28, 297–326, 1973.
  • Miller, S. S. and Mocanu, P. T. Differential Subordinations. Theory and Applications (Mar- cel Dekker, New York, Basel, 2000).
  • Obradovi´c, M. and Tuneski, N. On the starlike criteria defined by Silverman, Zeszyty Nauk. Politech. Rzeszowskiej Mat. 24 (181), 59–64, 2000.
  • Sakaguchi, K. On a certain univalent mapping, J. Math. Soc. Japan 11, 72–75, 1959.
  • Silverman, H. Convex and starlike criteria, Int. J. Math. Math. Sci. 22 (1), 75–79, 1999.
  • Singh, V. and Tuneski, N. On a criteria for starlikeness and convexity of analytic functions, Acta Math. Sci. 24 (B4), 597–602, 2004.
  • Tuneski, N. On a Criteria for starlikeness of analytic functions, Integral Transform. Spec. Funct. 14 (3), 263–270, 2003.
  • Tuneski, N. On the quotient of the representations of convexity and starlikeness, Math. Nach. 248-249, 200–203, 2003.
  • Tuneski, N. and Irmak, H. Starlikeness and convexity of a class of analytic functions, In- ternat. J. Math. Math. Sci. 2006, Art. ID 38089, 8 pp, 2006.

ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS

Year 2012, Volume: 41 Issue: 2, 271 - 275, 01.02.2012

Abstract

References

  • Janowski, W. Some extremal problems for certain families of analytic functions, I. Ann. Polon. Math. 28, 297–326, 1973.
  • Miller, S. S. and Mocanu, P. T. Differential Subordinations. Theory and Applications (Mar- cel Dekker, New York, Basel, 2000).
  • Obradovi´c, M. and Tuneski, N. On the starlike criteria defined by Silverman, Zeszyty Nauk. Politech. Rzeszowskiej Mat. 24 (181), 59–64, 2000.
  • Sakaguchi, K. On a certain univalent mapping, J. Math. Soc. Japan 11, 72–75, 1959.
  • Silverman, H. Convex and starlike criteria, Int. J. Math. Math. Sci. 22 (1), 75–79, 1999.
  • Singh, V. and Tuneski, N. On a criteria for starlikeness and convexity of analytic functions, Acta Math. Sci. 24 (B4), 597–602, 2004.
  • Tuneski, N. On a Criteria for starlikeness of analytic functions, Integral Transform. Spec. Funct. 14 (3), 263–270, 2003.
  • Tuneski, N. On the quotient of the representations of convexity and starlikeness, Math. Nach. 248-249, 200–203, 2003.
  • Tuneski, N. and Irmak, H. Starlikeness and convexity of a class of analytic functions, In- ternat. J. Math. Math. Sci. 2006, Art. ID 38089, 8 pp, 2006.
There are 9 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

Nikola Tuneski This is me

Maslina Darus This is me

Publication Date February 1, 2012
Published in Issue Year 2012 Volume: 41 Issue: 2

Cite

APA Tuneski, N., & Darus, M. (2012). ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS. Hacettepe Journal of Mathematics and Statistics, 41(2), 271-275.
AMA Tuneski N, Darus M. ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS. Hacettepe Journal of Mathematics and Statistics. February 2012;41(2):271-275.
Chicago Tuneski, Nikola, and Maslina Darus. “ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS”. Hacettepe Journal of Mathematics and Statistics 41, no. 2 (February 2012): 271-75.
EndNote Tuneski N, Darus M (February 1, 2012) ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS. Hacettepe Journal of Mathematics and Statistics 41 2 271–275.
IEEE N. Tuneski and M. Darus, “ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 2, pp. 271–275, 2012.
ISNAD Tuneski, Nikola - Darus, Maslina. “ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS”. Hacettepe Journal of Mathematics and Statistics 41/2 (February 2012), 271-275.
JAMA Tuneski N, Darus M. ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS. Hacettepe Journal of Mathematics and Statistics. 2012;41:271–275.
MLA Tuneski, Nikola and Maslina Darus. “ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 2, 2012, pp. 271-5.
Vancouver Tuneski N, Darus M. ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS. Hacettepe Journal of Mathematics and Statistics. 2012;41(2):271-5.