# 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

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topShigeyoshi 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

top- [1] I. S. Jack, Functions starlike and convex of order α, J. London Math. Soc. 3 (1971), 469-474. Zbl0224.30026
- [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] M. Nunokawa, On properties of non-Carathéodory functions, Proc. Japan Acad. 68 (1992), 152-153. Zbl0773.30020
- [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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