On a Class of Analytic Functions Related to Robertson's Formula Involving Crescent Shaped Domain and Lemniscate of Bernoulli

被引：2

作者：

Gruszecki, Lech ^{[1
]}

Lecko, Adam ^{[2
]}

Murugusundaramoorthy, Gangadharan ^{[3
]}

Sivasubramanian, Srikandan ^{[4
]}

机构：

[1] John Paul II Catholic Univ Lublin, Inst Econ & Finance, Fac Social Sci, Dept Econometr & Stat, Al Raclawickie 14, PL-20950 Lublin, Poland

[2] Univ Warmia & Mazury, Fac Math & Comp Sci, Dept Complex Anal, Ul Sloneczna 54, PL-10710 Olsztyn, Poland

[3] VIT Univ, Sch Adv Sci, Dept Math, Vellore 632014, India

[4] Anna Univ, Coll Engn Tindivanam, Dept Math, Tindivanam 604001, India

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 04期

关键词：

univalent function; starlike function of order alpha; starlike function with respect to a boundary point; lemniscate of Bernoulli; UNIVALENT-FUNCTIONS STARLIKE; RESPECT;

D O I：

10.3390/sym15040875

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 introduce and study the class of analytic functions in the unit disc, which are derived from Robertson's analytic formula for starlike functions with respect to a boundary point combined with a subordination involving lemniscate of Bernoulli and crescent shaped domains. Using their symmetry property, the basic geometrical and analytical properties of the introduced classes were proved. Early coefficients and the Fekete-Szego functional were estimated. Results for both classes were also obtained by applying the theory of differential subordinations.

引用

页数：16

共 7 条

[1] On a class of analytic functions related to Robertson's formula and subordination
Lecko, Adam
Murugusundaramoorthy, Gangadharan
Sivasubramanian, Srikandan
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2021, 27 (01):
[2] On a class of analytic functions related to Robertson’s formula and subordination
Adam Lecko
Gangadharan Murugusundaramoorthy
Srikandan Sivasubramanian
Boletín de la Sociedad Matemática Mexicana, 2021, 27
[3] Upper bound of the third Hankel determinant for a class of analytic functions related with lemniscate of Bernoulli
Raza M.
Malik S.N.
Journal of Inequalities and Applications, 2013 (1)
[4] Coefficient Inequalities For A Class Of Analytic Functions Associated With The Lemniscate Of Bernoulli
Panigrahi, Trailokya
Sokol, Janusz
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2019, 37 (04): : 83 - 95
[5] ON A CLASS OF ANALYTIC MULTIVALENT FUNCTIONS IN q-ANALOGUE ASSOCIATED WITH LEMNISCATE OF BERNOULLI
Ahmad, Bakhtiar
Darus, Maslina
Khan, Nasir
Khan, Raees
Khan, Muhammad Ghaffar
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 13 (01): : 71 - 82
[6] On a geometric study of a class of normalized functions defined by Bernoulli's formula
Ibrahim, Rabha W.
Aldawish, Ibtisam
Baleanu, Dumitru
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[7] On a geometric study of a class of normalized functions defined by Bernoulli’s formula
Rabha W. Ibrahim
Ibtisam Aldawish
Dumitru Baleanu
Advances in Difference Equations, 2021

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