Dominant of Functions Satisfying a Differential Subordination and Applications

被引：1

作者：

Chandrashekar, R. ^{[1
]}

Ali, Rosihan M. ^{[2
]}

Subramanian, K. G. ^{[3
]}

机构：

[1] Univ Tun Hussein Onn Malaysia, Dept Technol Management, Fac Technol Management & Business, Batu Pahat 86400, Johor, Malaysia

[2] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia

[3] Univ Sains Malaysia, Sch Comp Sci, George Town 11800, Malaysia

来源：

PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): GERMINATION OF MATHEMATICAL SCIENCES EDUCATION AND RESEARCH TOWARDS GLOBAL SUSTAINABILITY | 2014年 / 1605卷

关键词：

Starlike and convex functions; differential subordination; dominant;

D O I：

10.1063/1.4887653

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Best dominant is obtained for normalized analytic functions f satisfying (1-alpha) f (z)/z+alpha f'(z)+beta zf ''(z)< h(z) in the unit disk D, where h is a normalized convex function, and, alpha,beta are appropriate real parameters. This fundamental result is next applied to investigate the convexity and starlikeness of the image domains f (D) for particular choices of h.

引用

页码：580 / 585

页数：6

共 9 条

[1] ON A SUBCLASS OF STARLIKE FUNCTIONS [J].

ALI, RM .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1994, 24 (02) :447-451

[2]

Ali RM., 1995, Annales Polonici Mathematici, V61, P135, DOI [10.4064/ap-61-2-135-140, DOI 10.4064/AP-61-2-135-140]

[3]

ALI RM, 1995, COMPLEX VARIABLES TH, V26, P299

[4] A Third-Order Differential Equation and Starlikeness of a Double Integral Operator [J].

Ali, Rosihan M. ;

Lee, See Keong ;

Subramanian, K. G. ;

Swaminathan, A. .

ABSTRACT AND APPLIED ANALYSIS, 2011,

[5]

Fournier R., 2003, COMPLEX VARIABLES, V48, P283

[6] SUBORDINATION BY CONVEX FUNCTIONS [J].

HALLENBECK, DJ ;

RUSCHEWEYH, S .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 52 (OCT) :191-195

[7]

Kanas S., 1998, SURIKAISEKIKENKYUSHO, V1062, P25

[8]

Kim YC, 1999, INT J MATH MATH SCI, V22, P649, DOI DOI 10.1155/S016117129922649X

[9]

Obradovic M., 1997, MAT VESNIK, V49, P241

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