Some Properties of Certain Classes of Meromorphic Multivalent Functions Defined by Subordination

被引：3

作者：

Seoudy, Tamer M. M. ^{[1
]}

Shammaky, Amnah E. E. ^{[2
]}

机构：

[1] Umm Al Qura Univ, Jamoum Univ Coll, Dept Math, Mecca 21955, Saudi Arabia

[2] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 02期

关键词：

analytic functions; meromorphic multivalent functions; subordination; superordination; Fekete-Szego inequalities; CONVEX; STARLIKE;

D O I：

10.3390/sym15020347

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we define two classes of meromorphic multivalent functions in the punctured disc U*={w is an element of C : 0 <|w|< 1} < 1 by using the principle of subordination. We investigate a number of useful results including subordination results, some connections with a certain integral operator, sandwich properties, an inclusion relationship, and Fekete-Szego inequalities for the functions belonging these classes. Our results are connected with those in several earlier works, which are related to this field of Geometric Function Theory (GFT) of Complex Analysis.

引用

页数：13

共 25 条

[1]

[Anonymous], 1963, Proc. Amer. Math. Soc., DOI DOI 10.1090/S0002-9939-1963-0148891-3

[2]

[Anonymous], 2005, Differential Subordinations and Superordinations, Recent Results

[3]

Aouf M. K., 2020, Constr. Math. Anal., V3, P139, DOI DOI 10.33205/CMA.781936

[4]

Aouf MK, 2020, CONSTR MATH ANAL, V3, P36, DOI DOI 10.33205/CMA.648478

[5] Subclasses of Meromorphic Functions Associated with a Convolution Operator [J].

Aouf, Mohamed K. ;

Bulboaca, Teodor ;

Seoudy, Tamer M. .

FILOMAT, 2019, 33 (08) :2211-2218

[6] CONVEX AND STARLIKE UNIVALENT FUNCTIONS [J].

BERNARDI, SD .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) :429-&

[7] NEW DISTORTION THEOREMS FOR FUNCTIONS OF POSITIVE REAL PART AND APPLICATIONS TO PARTIAL SUMS OF UNIVALENT CONVEX FUNCTIONS [J].

BERNARDI, SD .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (01) :113-118

[8] Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin [J].

Breaz, Daniel ;

Karthikeyan, Kadhavoor R. ;

Umadevi, Elangho .

MATHEMATICS, 2022, 10 (04)

[9] SUBORDINATION BY CONVEX FUNCTIONS [J].

HALLENBECK, DJ ;

RUSCHEWEYH, S .

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

[10] Certain subclasses of meromorphic multivalent q-starlike and q-convex functions [J].

Khan, Shahid ;

Hussain, Saqib ;

Darus, Maslina .

MATHEMATICA SLOVACA, 2022, 72 (03) :635-646

← 1 2 3 →