Some inequalities involving multivalent functions

Shigeyoshi Owa; Mamoru Nunokawa; Hitoshi Saitoh

Annales Polonici Mathematici (1994)

  • Volume: 60, Issue: 2, page 159-162
  • ISSN: 0066-2216

Abstract

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The object of the present paper is to derive some inequalities involving multivalent functions in the unit disk. One of our results is an improvement and a generalization of a result due to R. M. Robinson [4].

How to cite

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Shigeyoshi Owa, Mamoru Nunokawa, and Hitoshi Saitoh. "Some inequalities involving multivalent functions." Annales Polonici Mathematici 60.2 (1994): 159-162. <http://eudml.org/doc/262283>.

@article{ShigeyoshiOwa1994,
abstract = {The object of the present paper is to derive some inequalities involving multivalent functions in the unit disk. One of our results is an improvement and a generalization of a result due to R. M. Robinson [4].},
author = {Shigeyoshi Owa, Mamoru Nunokawa, Hitoshi Saitoh},
journal = {Annales Polonici Mathematici},
keywords = {analytic function; unit disk; Jack's lemma},
language = {eng},
number = {2},
pages = {159-162},
title = {Some inequalities involving multivalent functions},
url = {http://eudml.org/doc/262283},
volume = {60},
year = {1994},
}

TY - JOUR
AU - Shigeyoshi Owa
AU - Mamoru Nunokawa
AU - Hitoshi Saitoh
TI - Some inequalities involving multivalent functions
JO - Annales Polonici Mathematici
PY - 1994
VL - 60
IS - 2
SP - 159
EP - 162
AB - The object of the present paper is to derive some inequalities involving multivalent functions in the unit disk. One of our results is an improvement and a generalization of a result due to R. M. Robinson [4].
LA - eng
KW - analytic function; unit disk; Jack's lemma
UR - http://eudml.org/doc/262283
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] R. M. Robinson, Univalent majorants, Trans. Amer. Math. Soc. 61 (1947), 1-35. 

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