On the order of starlikeness of convex functions of order \(\alpha\)

Authors

  • Petru T. Mocanu "Babeş-Bolyai" University, Cluj-Napoca, Romania
  • Dumitru Ripeanu "Tiberiu Popoviciu", Institute of Numerical Analysis, Romanian Academy, Romania
  • Ioan Şerb "Tiberiu Popoviciu", Institute of Numerical Analysis, Romanian Academy, Romania
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References

Jack, I. S., Functions starlike and convex of order α. J. London Math. Soc. (2) 3 1971 469-474, MR0281897, https://doi.org/10.1112/jlms/s2-3.3.469

MacGregor, Thomas H., A subordination for convex functions of order α. J. London Math. Soc. (2) 9 (1974/75), 530-536, MR0367175, https://doi.org/10.1112/jlms/s2-9.4.530

Marx, Arnold, Untersuchungen über schlichte Abbildungen. (German) Math. Ann. 107 (1933), no. 1, 40-67, MR1512785, https://doi.org/10.1007/bf01448878

Strohhäcker, Erich, Beiträge zur Theorie der schlichten Funktionen. (German) Math. Z. 37 (1933), no. 1, 356-380, MR1545400, https://doi.org/10.1007/bf01474580

Wilken, D. R., Feng, J., A remark on convex and starlike functions. J. London Math. Soc. (2) 21 (1980), no. 2, 287-290, MR0575386, https://doi.org/10.1112/jlms/s2-21.2.287

Zmorovič, V. A., Korobkova, Ī. K., On the order of starlikeness of convex functions of order α. (Russian. English summary) Dokl. Akad. Nauk. Ukrain. SSR Ser. A 1977, no. 7, 584-587, 669, MR0486479.

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Published

1981-08-01

How to Cite

Mocanu, P. T., Ripeanu, D., & Şerb, I. (1981). On the order of starlikeness of convex functions of order \(\alpha\). Anal. Numér. Théor. Approx., 10(2), 195–199. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1981-vol10-no2-art8

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Vol. 10 No. 2 (1981)

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Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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