Toeplitz Matrices for a Class of Bazilevic Functions and the λ-Pseudo-Starlike Functions

被引:2
作者
Wanas, Abbas Kareem [1 ]
Sehen, Salam Abdulhussein [2 ]
Pall-Szabo, Agnes Orsolya [3 ]
机构
[1] Univ Al Qadisiyah, Coll Sci, Dept Math, Al Diwaniyah 13236, Al Qadisiyah, Iraq
[2] Univ Al Qadisiyah, Coll Sci, Med Phys Dept, Al Diwaniyah 13236, Al Qadisiyah, Iraq
[3] Babes Bolyai Univ, Fac Econ & Business Adm, Dept Stat Forecasts Math, Cluj Napoca 400083, Romania
关键词
analytic functions; Bazilevi & ccaron; functions; lambda-pseudo-starlike functions; coefficient estimates; univalent functions; Toeplitz matrices; COEFFICIENTS; ELEMENTS;
D O I
10.3390/axioms13080521
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present paper, we define and study a new family of holomorphic functions which involve the Bazilevic functions and the lambda-pseudo-starlike functions. We establish coefficient estimates for the first four determinants of the symmetric Toeplitz matrices T-2(2), T-2(3), T-3(1) and T-3(2) for the functions in this family. Further, we investigate several special cases and consequences of our results.
引用
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页数:8
相关论文
共 19 条
[1]  
Al-Khafaji Saba N., 2020, Journal of Physics: Conference Series, V1660, DOI 10.1088/1742-6596/1660/1/012091
[2]   TOEPLITZ DETERMINANTS WHOSE ELEMENTS ARE THE COEFFICIENTS OF ANALYTIC AND UNIVALENT FUNCTIONS [J].
Ali, Md Firoz ;
Thomas, D. K. ;
Vasudevarao, A. .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 97 (02) :253-264
[3]   Hankel, Toeplitz, and Hermitian-Toeplitz Determinants for Certain Close-to-convex Functions [J].
Allu, Vasudevarao ;
Lecko, Adam ;
Thomas, Derek K. .
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (01)
[4]  
Babalola K.O., 2012, J CLASS ANAL, V3, P137
[5]  
Buyankara M., 2023, Mat. Stud, V60, P132, DOI [10.30970/ms.60.2.132-137, DOI 10.30970/MS.60.2.132-137]
[6]   Symmetric Toeplitz Matrices for a New Family of Prestarlike Functions [J].
Cotirla, Luminita-Ioana ;
Wanas, Abbas Kareem .
SYMMETRY-BASEL, 2022, 14 (07)
[7]  
Grenander U, 1958, TOEPLITZ FORMS THEIR
[8]  
POMMERENKE C, 1975, UNIVALENT FUNCTIONS
[9]   Toeplitz Matrices Whose Elements Are the Coefficients of Functions with Bounded Boundary Rotation [J].
Radhika, V. ;
Sivasubramanian, S. ;
Murugusundaramoorthy, G. ;
Jahangiri, Jay M. .
JOURNAL OF COMPLEX ANALYSIS, 2016,
[10]   Toeplitz matrices whose elements are coefficients of Bazilevic functions [J].
Radhika, Varadharajan ;
Jahangiri, Jay M. ;
Sivasubramanian, Srikandan ;
Murugusundaramoorthy, Gangadharan .
OPEN MATHEMATICS, 2018, 16 :1161-1169