Some Classes of Bazilevič-Type Close-to-Convex Functions Involving a New Derivative Operator

被引：0

作者：

Sabir, Pishtiwan Othman ^{[1
]}

Lupas, Alina Alb ^{[2
]}

Khalil, Sipal Saeed ^{[3
]}

Mohammed, Pshtiwan Othman ^{[4
,5
]}

Abdelwahed, Mohamed ^{[6
]}

机构：

[1] Univ Sulaimani, Coll Sci, Dept Math, Sulaymaniyah 46001, Iraq

[2] Univ Oradea, Dept Math & Comp Sci, Oradea 410087, Romania

[3] Univ Zakho, Coll Educ, Dept Math, Zakho 42002, Iraq

[4] Univ Sulaimani, Coll Educ, Dept Math, Sulaymaniyah 46001, Iraq

[5] Univ Sulaimani, Res & Dev Ctr, Sulaymaniyah 46001, Iraq

[6] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

来源：

SYMMETRY-BASEL | 2024年 / 16卷 / 07期

关键词：

analytic functions; univalent functions; starlike functions; Bazilevi & ccaron; functions; close-to-convex functions; Fekete-Szeg & ouml; inequalities; COEFFICIENT;

D O I：

10.3390/sym16070836

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 the present paper, we are merging two interesting and well-known classes, namely those of Bazilevi & ccaron; and close-to-convex functions associated with a new derivative operator. We derive coefficient estimates for this broad category of analytic, univalent and bi-univalent functions and draw attention to the Fekete-Szeg & ouml; inequalities relevant to functions defined within the open unit disk. Additionally, we identify several specific special cases of our results by specializing the parameters.

引用

页数：16

共 50 条

[1] On the generalization of some classes of close-to-convex and typically real functions
Maiyer, Fedor F.
Tastanov, Meyrambek G.
Utemissova, Anar A.
Baimankulov, Abdykarim T.
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS, 2023, (85): : 5 - 21
[2] HIGHER ORDER CLOSE-TO-CONVEX FUNCTIONS ASSOCIATED WITH RUSCHEWEYH DERIVATIVE OPERATOR
Noor, Khalida Inayat
Shah, Shujaat Ali
JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2021, 39 (1-2): : 133 - 143
[3] Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions
Mahmood, Shahid
Sokol, Janusz
Srivastava, Hari Mohan
Malik, Sarfraz Nawaz
MATHEMATICS, 2019, 7 (04)
[4] SOME REMARKS ON CLOSE-TO-CONVEX FUNCTIONS
KRZYZ, J
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1964, 12 (01): : 25 - &
[5] SOME REMARKS ON CLOSE-TO-CONVEX AND STRONGLY CONVEX FUNCTIONS
Nunokawa, Mamoru
Sokol, Janusz
Trabka-Wieclaw, Katarzyna
MATHEMATICA SCANDINAVICA, 2015, 116 (02) : 309 - 319
[6] Sharp Bounds of the Hermitian Toeplitz Determinants for Some Classes of Close-to-Convex Functions
Adam Lecko
Barbara Śmiarowska
Bulletin of the Malaysian Mathematical Sciences Society, 2021, 44 : 3391 - 3412
[7] Sharp Bounds of the Hermitian Toeplitz Determinants for Some Classes of Close-to-Convex Functions
Lecko, Adam
Smiarowska, Barbara
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2021, 44 (05) : 3391 - 3412
[8] Properties For an Integral Operator on the Class of Close-to-Convex Functions
Ularua, Nicoleta
FILOMAT, 2015, 29 (06) : 1291 - 1296
[9] ON NEW SUBCLASSES OF CLOSE-TO-CONVEX FUNCTIONS
SINGH, S
SINGH, R
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1981, 12 (06): : 743 - 748
[10] THE KOMATU INTEGRAL OPERATOR AND STRONGLY CLOSE-TO-CONVEX FUNCTIONS
Aouf, M. K.
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (03): : 209 - 219

← 1 2 3 4 5 →