Sufficient conditions for multivalent starlikeness

Shigeyoshi Owai; Mamoru Nunokawa; Hitoshi Saitoh

Annales Polonici Mathematici (1995)

  • Volume: 62, Issue: 1, page 75-78
  • ISSN: 0066-2216

Abstract

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Let 𝕊*(p) be the class of functions f(z) which are p-valently starlike in the open unit disk 𝕌. Two sufficient conditions for a function f(z) to be in the class 𝕊*(p) are shown.

How to cite

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Shigeyoshi Owai, Mamoru Nunokawa, and Hitoshi Saitoh. "Sufficient conditions for multivalent starlikeness." Annales Polonici Mathematici 62.1 (1995): 75-78. <http://eudml.org/doc/262516>.

@article{ShigeyoshiOwai1995,
abstract = {Let 𝕊*(p) be the class of functions f(z) which are p-valently starlike in the open unit disk 𝕌. Two sufficient conditions for a function f(z) to be in the class 𝕊*(p) are shown.},
author = {Shigeyoshi Owai, Mamoru Nunokawa, Hitoshi Saitoh},
journal = {Annales Polonici Mathematici},
keywords = {analytic; open unit disk; p-valently starlike; Jack's lemma; -valently starlike},
language = {eng},
number = {1},
pages = {75-78},
title = {Sufficient conditions for multivalent starlikeness},
url = {http://eudml.org/doc/262516},
volume = {62},
year = {1995},
}

TY - JOUR
AU - Shigeyoshi Owai
AU - Mamoru Nunokawa
AU - Hitoshi Saitoh
TI - Sufficient conditions for multivalent starlikeness
JO - Annales Polonici Mathematici
PY - 1995
VL - 62
IS - 1
SP - 75
EP - 78
AB - Let 𝕊*(p) be the class of functions f(z) which are p-valently starlike in the open unit disk 𝕌. Two sufficient conditions for a function f(z) to be in the class 𝕊*(p) are shown.
LA - eng
KW - analytic; open unit disk; p-valently starlike; Jack's lemma; -valently starlike
UR - http://eudml.org/doc/262516
ER -

References

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  1. [1] I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3 (1971), 469-474. Zbl0224.30026
  2. [2] S. S. Miller and P. T. Mocanu, Second order differential inequalities in the complex plane, J. Math. Anal. Appl. 65 (1978), 289-305. Zbl0367.34005
  3. [3] M. Nunokawa, On properties of non-Carathéodory functions, Proc. Japan Acad. 68 (1992), 152-153. Zbl0773.30020
  4. [4] S. Owa, M. Nunokawa and S. Fukui, A criterion for p-valently starlike functions, Internat. J. Math. and Math. Sci., to appear. Zbl0797.30014

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