Conditions for Starlikeness of Multivalent Functions

被引：3
|
作者：
Nunokawa, Mamoru [1 ]
Sokol, Janusz [2 ]
机构：
[1] Univ Gunma, Hoshikuki Cho 798-8,Chuou Ward, Chiba 2600808, Japan
[2] Univ Rzeszow, Fac Math & Nat Sci, Ul Prof Pigonia 1, PL-35310 Rzeszow, Poland
来源：
RESULTS IN MATHEMATICS | 2017年 / 72卷 / 1-2期
关键词：
Analytic functions; univalent functions; Ozaki's condition;
D O I：
10.1007/s00025-016-0646-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A function f(z) meromorphic in a domain D subset of C is said to be p-valent in D if for each w the equation f(z) = w has at most p roots in D, where roots are counted in accordance with their multiplicity, and there is some v such that the equation f(z) = v has exactly p roots in D. We prove some new sufficient conditions for functions to be p-valently starlike in the unit disc.
引用
收藏
页码：359 / 367
页数：9
相关论文
共 50 条
  • [21] Sufficient Conditions for Starlikeness and Convexity of Analytic Functions with Real Coefficients
    Nunokawa, M.
    Owa, S.
    Nishiwaki, J.
    Saitoh, H.
    SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2009, 33 (06) : 1149 - 1155
  • [22] New Sufficient Conditions for Strongly Starlikeness and Strongly Convex Functions
    Frasin, Basem Aref
    KYUNGPOOK MATHEMATICAL JOURNAL, 2006, 46 (01): : 131 - 137
  • [23] SUFFICIENT CONDITIONS FOR STARLIKENESS AND STRONGLY-STARLIKENESS
    Kwon, Oh Sang
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 22 (01): : 19 - 26
  • [24] NEW CONDITIONS FOR STARLIKENESS AND STRONGLY STARLIKENESS OF ORDER ALPHA
    Nunokawa, Mamoru
    Sokol, Janusz
    HOUSTON JOURNAL OF MATHEMATICS, 2017, 43 (02): : 333 - 344
  • [25] SUFFICIENT CONDITIONS FOR STARLIKENESS
    Ravichandran, V.
    Sharma, Kanika
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (04) : 727 - 749
  • [26] Sufficient conditions for starlikeness
    Li, JL
    Owa, S
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2002, 33 (03): : 313 - 318
  • [27] On sufficient conditions for starlikeness
    Padmanabhan, KS
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2001, 32 (04): : 543 - 550
  • [28] CONVEXITY AND STARLIKENESS OF ANALYTIC FUNCTIONS
    ROYSTER, WC
    BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1952, 58 (04) : 484 - 484
  • [29] STARLIKENESS OF BESSEL FUNCTIONS AND THEIR DERIVATIVES
    Baricz, Arpad
    Caglar, Murat
    Deniz, Erhan
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2016, 19 (02): : 439 - 449
  • [30] Analytic Functions Related with Starlikeness
    Shah, Syed Ghoos Ali
    Noor, Saima
    Hussain, Saqib
    Tasleem, Asifa
    Rasheed, Akhter
    Darus, Maslina
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2021, 2021
12345