Sharp Results for a New Class of Analytic Functions Associated with the q-Differential Operator and the Symmetric Balloon-Shaped Domain

被引：2
|
作者：
Ahmad, Adeel [1 ]
Gong, Jianhua [2 ]
Rasheed, Akhter [3 ]
Hussain, Saqib [3 ]
Ali, Asad [1 ]
Cheikh, Zeinebou [2 ]
机构：
[1] Hazara Univ Mansehra, Dept Math & Stat, Mansehra 21120, Pakistan
[2] United Arab Emirates Univ, Dept Math Sci, Al Ain 15551, U Arab Emirates
[3] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Pakistan
来源：
SYMMETRY-BASEL | 2024年 / 16卷 / 09期
关键词：
differential subordination; analytic function; q-starlike function; symmetric points; Zalcman conjecture; Hankel determinant; balloon-shaped symmetric domain; STARLIKE FUNCTIONS; COEFFICIENT; SUBCLASS;
D O I：
10.3390/sym16091134
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 our current study, we apply differential subordination and quantum calculus to introduce and investigate a new class of analytic functions associated with the q-differential operator and the symmetric balloon-shaped domain. We obtain sharp results concerning the Maclaurin coefficients the second and third-order Hankel determinants, the Zalcman conjecture, and its generalized conjecture for this newly defined class of q-starlike functions with respect to symmetric points.
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页数：17
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