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ON SOME SUFFICIENT CONDITIONS FOR p-VALENTLY STARLIKENESS.

Authors :
NUNOKAWA, MAMORU
SOKÓŁ, JANUSZ
Source :
Journal of Mathematical Inequalities; Mar2023, Vol. 17 Issue 1, p1-10, 10p
Publication Year :
2023

Abstract

In this paper we prove some properties for functions that are multivalent in the unit disc |z| < 1 in the complex plane. As a corollary we obtain that if f(z) is p-valent, p ≥ 10, and |arg{f<superscript>(p)</superscript>(z)}|<π in |z| < 1, then f (z) is p-valent starlike. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
1846579X
Volume :
17
Issue :
1
Database :
Complementary Index
Journal :
Journal of Mathematical Inequalities
Publication Type :
Academic Journal
Accession number :
162826619
Full Text :
https://doi.org/10.7153/jmi-2023-17-01