Bi-Univalent Problems Involving Generalized Multiplier Transform with Respect to Symmetric and Conjugate Points

被引：6

作者：

Hamzat, Jamiu Olusegun ^{[1
]}

Oluwayemi, Matthew Olanrewaju ^{[2
,3
]}

Lupas, Alina Alb ^{[4
]}

Wanas, Abbas Kareem ^{[5
]}

机构：

[1] Univ Lagos, Dept Math, Lagos 101017, Nigeria

[2] Landmark Univ, SDG Qual Educ Res Grp 4, Omu Aran 251103, Nigeria

[3] Landmark Univ, Dept Math, Omu Aran 251103, Nigeria

[4] Univ Oradea, Dept Math & Comp Sci, 1 Univ St, Oradea 410087, Romania

[5] Univ Al Qadisiyah, Coll Sci, Dept Math, Al Diwaniyah 58001, Al Qadisiyah, Iraq

来源：

FRACTAL AND FRACTIONAL | 2022年 / 6卷 / 09期

关键词：

analytic; univalent; differential operator; bi-univalent; Fekete-Szego; COEFFICIENT; SUBCLASSES;

D O I：

10.3390/fractalfract6090483

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present article, using the subordination principle, the authors employed certain generalized multiplier transform to define two new subclasses of analytic functions with respect to symmetric and conjugate points. In particular, bi-univalent conditions for function f(z) belonging to these new subclasses and their relevant connections to the famous Fekete-Szego inequality vertical bar a(3) - va(2)(2)vertical bar were investigated using a succinct mathematical approach.

引用

页数：11

共 25 条

[1] Brannan D.A., 1985, P INT C MATH ANAL IT, VVolume 3, P53, DOI DOI 10.1016/B978-0-08-031636-9.50012-7
[2] Brannan D.A., 1979, P NATO ADV STUDY I H
[3] Coefficient estimates for general subclasses of m-fold symmetric analytic bi-univalent functions
Bulut, Serap
[J]. TURKISH JOURNAL OF MATHEMATICS, 2016, 40 (06) : 1386 - 1397
[4] Coefficient bounds for new subclasses of bi-univalent functions
Caglar, Murat
Orhan, Halit
Yagmur, Nihat
[J]. FILOMAT, 2013, 27 (07) : 1165 - 1171
[5] 조낙은, 2003, [Bulletin of the KMS, 대한수학회보], V40, P399
[6] Argument estimates of certain analytic functions defined by a class of multiplier transformations
Cho, NE
Srivastava, HM
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2003, 37 (1-2) : 39 - 49
[7] Deniz E., 2013, J. Class. Anal, V2, P49, DOI [10.7153/jca-02-05, DOI 10.7153/JCA-02-05]
[8] Duren PL., 1983, Univalent Functions
[9] New subclasses of bi-univalent functions
Frasin, B. A.
Aouf, M. K.
[J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (09) : 1569 - 1573
[10] Unpredictability of the coefficients of m-fold symmetric bi-starlike functions
Hamidi, Samaneh G.
Jahangiri, Jay M.
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2014, 25 (07)

← 1 2 3 →