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Year 2007, Volume: 36 Issue: 1, 1 - 6, 01.01.2007

Abstract

References

  • Chen, M. P., Irmak, H. and Srivastava, H. M. Some families multivalently analytic functions with negative coefficients, J. Math. Anal. Appl. 214 (2), 674–690, 1997.
  • Duren, P. L. Univalent Functions, Grundlehren der Mathematischen Wissenschaften 259 (Springer-Verlag, New York, Berlin, Heidelberg, and Tokyo, 1983).
  • Goodman, A. W. Univalent Functions, Vols. I and II (Polygonal Publishing House, Wash- ington, New Jersey, 1983).
  • Irmak, H., Cho, N. E., C¸ etin, ¨O. F. and Raina, R. K. Certain inequalities involving meromor- phically multivalent functions, Hacet. Bull. Nat. Sci. Eng. Ser. B 30, 39–43, 2001.
  • Irmak, H., Lee, S. H. and Cho, N. E. Some multivalently starlike functions with negative coefficients and their subclasses defined by using a differential operator, Kyungpook Math. J. 37 (1), 43–51, 1997.
  • Irmak, H. A class of p-valently analytic functions with positive coefficients, Tamkang J. Math. 27(4), 315–322, 1995.
  • Jack, I. S. Functions starlike and convex of order α, J. London Math. Soc. 3, 469–474, 1971.
  • Miller, S. S. and Mocanu, P. T. Second order differential inequalities in the complex palne, J. Math. Anal. Appl. 65, 289–305, 1978.
  • Srivastava, H. M. and Owa, S. (Editors), Current Topics in Analytic Function Theory (World Scientific Publishing Company, Singapore, New Jersey, London, and Hong Kong, 1992).

A Differential Operator and its Applications to Certain Multivalently Analytic Functions

Year 2007, Volume: 36 Issue: 1, 1 - 6, 01.01.2007

Abstract

In the present paper, the authors obtain some interesting properties of (ordinary) differential operators. Several useful consequences associated with the main results are also considered.

References

  • Chen, M. P., Irmak, H. and Srivastava, H. M. Some families multivalently analytic functions with negative coefficients, J. Math. Anal. Appl. 214 (2), 674–690, 1997.
  • Duren, P. L. Univalent Functions, Grundlehren der Mathematischen Wissenschaften 259 (Springer-Verlag, New York, Berlin, Heidelberg, and Tokyo, 1983).
  • Goodman, A. W. Univalent Functions, Vols. I and II (Polygonal Publishing House, Wash- ington, New Jersey, 1983).
  • Irmak, H., Cho, N. E., C¸ etin, ¨O. F. and Raina, R. K. Certain inequalities involving meromor- phically multivalent functions, Hacet. Bull. Nat. Sci. Eng. Ser. B 30, 39–43, 2001.
  • Irmak, H., Lee, S. H. and Cho, N. E. Some multivalently starlike functions with negative coefficients and their subclasses defined by using a differential operator, Kyungpook Math. J. 37 (1), 43–51, 1997.
  • Irmak, H. A class of p-valently analytic functions with positive coefficients, Tamkang J. Math. 27(4), 315–322, 1995.
  • Jack, I. S. Functions starlike and convex of order α, J. London Math. Soc. 3, 469–474, 1971.
  • Miller, S. S. and Mocanu, P. T. Second order differential inequalities in the complex palne, J. Math. Anal. Appl. 65, 289–305, 1978.
  • Srivastava, H. M. and Owa, S. (Editors), Current Topics in Analytic Function Theory (World Scientific Publishing Company, Singapore, New Jersey, London, and Hong Kong, 1992).
There are 9 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

H. Irmak This is me

N. E. Cho This is me

Publication Date January 1, 2007
Published in Issue Year 2007 Volume: 36 Issue: 1

Cite

APA Irmak, H., & Cho, N. E. (2007). A Differential Operator and its Applications to Certain Multivalently Analytic Functions. Hacettepe Journal of Mathematics and Statistics, 36(1), 1-6.
AMA Irmak H, Cho NE. A Differential Operator and its Applications to Certain Multivalently Analytic Functions. Hacettepe Journal of Mathematics and Statistics. January 2007;36(1):1-6.
Chicago Irmak, H., and N. E. Cho. “A Differential Operator and Its Applications to Certain Multivalently Analytic Functions”. Hacettepe Journal of Mathematics and Statistics 36, no. 1 (January 2007): 1-6.
EndNote Irmak H, Cho NE (January 1, 2007) A Differential Operator and its Applications to Certain Multivalently Analytic Functions. Hacettepe Journal of Mathematics and Statistics 36 1 1–6.
IEEE H. Irmak and N. E. Cho, “A Differential Operator and its Applications to Certain Multivalently Analytic Functions”, Hacettepe Journal of Mathematics and Statistics, vol. 36, no. 1, pp. 1–6, 2007.
ISNAD Irmak, H. - Cho, N. E. “A Differential Operator and Its Applications to Certain Multivalently Analytic Functions”. Hacettepe Journal of Mathematics and Statistics 36/1 (January 2007), 1-6.
JAMA Irmak H, Cho NE. A Differential Operator and its Applications to Certain Multivalently Analytic Functions. Hacettepe Journal of Mathematics and Statistics. 2007;36:1–6.
MLA Irmak, H. and N. E. Cho. “A Differential Operator and Its Applications to Certain Multivalently Analytic Functions”. Hacettepe Journal of Mathematics and Statistics, vol. 36, no. 1, 2007, pp. 1-6.
Vancouver Irmak H, Cho NE. A Differential Operator and its Applications to Certain Multivalently Analytic Functions. Hacettepe Journal of Mathematics and Statistics. 2007;36(1):1-6.