Some Inclusion Relations of Certain Subclasses of Strongly Starlike, Convex and Close-to-Convex Functions Associated with a Pascal Operator

被引：2

作者：

Lashin, Abdel Moneim Y. ^{[1
]}

Aouf, Mohamed K. ^{[2
]}

Badghaish, Abeer O. ^{[1
]}

Bajamal, Amani Z. ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 06期

关键词：

Pascal operator; analytic functions; strongly starlike functions; strongly convex functions; strongly close-to-convex functions; argument estimates;

D O I：

10.3390/sym14061079

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：

This paper studies some inclusion properties of some new subclasses of analytic functions in the open symmetric unit disc U that are associated with the Pascal operator. Furthermore, the integral-preserving properties in a sector for these subclasses are also investigated.

引用

页数：20

共 50 条

[1] Certain Subclasses of Close-to-Convex Functions
Goyal S.P.
Singh O.
Vietnam Journal of Mathematics, 2014, 42 (1) : 53 - 62
[2] ON A CLOSE-TO-CONVEX ANALOGUE OF CERTAIN STARLIKE FUNCTIONS
Allu, Vasudevarao
Sokol, Janusz
Thomas, Derek K.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 102 (02) : 268 - 281
[3] On certain subclasses of starlike and convex functions associated with Pascal distribution series
Seker, Bilal
Eker, Sevtap Sumer
TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (06) : 1982 - 1989
[4] On certain subclasses of meromorphic close-to-convex functions
Oros, Georgia Irina
Catas, Adriana
Oros, Gheorghe
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
[5] COEFFICIENT ESTIMATES FOR SOME CERTAIN SUBCLASSES OF CLOSE-TO-CONVEX FUNCTIONS
Yavuz, Tugba
MATEMATICHE, 2016, 71 (01): : 127 - 134
[6] On Certain Subclasses of Meromorphic Close-to-Convex Functions
Georgia Irina Oros
Adriana Cătaş
Gheorghe Oros
Journal of Inequalities and Applications, 2008
[7] Some properties of functions associated with close-to-convex and starlike of order α
Uyanik, Neslihan
Owa, Shigeyoshi
Kadioglu, Ekrem
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (02) : 381 - 387
[8] SOME REMARKS ON CLOSE-TO-CONVEX AND STRONGLY CONVEX FUNCTIONS
Nunokawa, Mamoru
Sokol, Janusz
Trabka-Wieclaw, Katarzyna
MATHEMATICA SCANDINAVICA, 2015, 116 (02) : 309 - 319
[9] SOME SUBCLASSES OF CLOSE-TO-CONVEX AND QUASI-CONVEX FUNCTIONS
Wang, Zhi-Gang
MATEMATICKI VESNIK, 2007, 59 (1-2): : 65 - 73
[10] SUBCLASSES OF CLOSE-TO-CONVEX FUNCTIONS
Singh, Harjinder
Mehrok, B. S.
TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (04): : 377 - 386

← 1 2 3 4 5 →