Properties of convolutions for hypergeometric series with univalent functions

被引:2
作者
Kim, Ji A. [1 ]
Cho, Nak Eun [1 ]
机构
[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea
基金
新加坡国家研究基金会;
关键词
univalent function; starlike function; convex function; uniformly convex; uniformly starlike; hypergeometric function; STARLIKE; ORDER;
D O I
10.1186/1687-1847-2013-101
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The purpose of the present paper is to investigate various mapping and inclusion properties involving subclasses of analytic and univalent functions for a linear operator defined by means of Hadamard product (or convolution) with the Gaussian hypergeometric function. MSC: 30C45, 30C55, 33C20.
引用
收藏
页数:11
相关论文
共 50 条
[31]   Coefficient characterizations and sections for some univalent functions [J].
M. Obradović ;
S. Ponnusamy ;
K. -J. Wirths .
Siberian Mathematical Journal, 2013, 54 :679-696
[32]   An application of generalized distribution series on certain subclasses of univalent functions [J].
Sibel Yalçın ;
Krishnan Marimuthu ;
Jayaraman Uma .
Boletín de la Sociedad Matemática Mexicana, 2024, 30
[33]   ON CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS ASSOCIATED WITH PASCAL DISTRIBUTION SERIES [J].
Marimuthu, K. ;
Uma, J. .
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2024, 14 (04) :1553-1561
[34]   SOME PROPERTIES FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS DEFINED BY DIFFERENTIAL INEQUALITIES [J].
彭志刚 ;
钟广祯 .
Acta Mathematica Scientia, 2017, (01) :69-78
[35]   UNIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING PASCAL DISTRIBUTION SERIES [J].
Bulboaca, Teodor ;
Murugusundaramoorthy, Gangadharan .
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (03) :867-877
[36]   Certain subclasses of univalent functions involving Pascal distribution series [J].
Lashin, Abdel Moneim Y. ;
Badghaish, Abeer O. ;
Bajamal, Amani Z. .
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (01)
[37]   SOME PROPERTIES FOR CERTAIN CLASSES OF UNIVALENT FUNCTIONS DEFINED BY DIFFERENTIAL INEQUALITIES [J].
Peng, Zhigang ;
Zhong, Gangzhen .
ACTA MATHEMATICA SCIENTIA, 2017, 37 (01) :69-78
[38]   Some properties of a family of incomplete hypergeometric functions [J].
R. Srivastava .
Russian Journal of Mathematical Physics, 2013, 20 :121-128
[39]   Some properties of a family of incomplete hypergeometric functions [J].
Srivastava, R. .
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2013, 20 (01) :121-128
[40]   Exploring the Inclusion Properties of Integral Operators Related to the Pascal Distribution Series in Certain Subclasses of Univalent Functions [J].
Giri, Manas Kumar ;
Kondooru, Raghavendar .
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2025, 22 (02) :261-289