Toeplitz Determinants for a Certain Family of Analytic Functions Endowed with Borel Distribution

被引：7

作者：

Wanas, Abbas Kareem ^{[1
]}

Sakar, Fethiye Muge ^{[2
]}

Oros, Georgia Irina ^{[3
]}

Cotirla, Luminita-Ioana ^{[4
]}

机构：

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

[2] Dicle Univ, Fac Econ & Adm Sci, Dept Management, TR-21280 Diyarbakir, Turkiye

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

[4] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400114, Romania

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 02期

关键词：

analytic functions; univalent functions; coefficient estimates; Toeplitz matrices; Borel distribution; STARLIKE FUNCTIONS; COEFFICIENTS; MATRICES; SUBCLASS; ELEMENTS;

D O I：

10.3390/sym15020262

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 work, we derive coefficient bounds for the symmetric Toeplitz matrices T-2(2), T-2(3), T-3(1), and T-3(2), which are the known first four determinants for a new family of analytic functions with Borel distribution series in the open unit disk U. Further, some special cases of results obtained are also pointed.

引用

页数：9

共 23 条

[1] Akgul A., 2022, SYMMETRY-BASEL, V11, P228
[2] Hankel, Toeplitz, and Hermitian-Toeplitz Determinants for Certain Close-to-convex Functions
Allu, Vasudevarao
Lecko, Adam
Thomas, Derek K.
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (01)
[3] Altinkaya S., 2017, An. Univ. Oradea, Fasc. Mat., V24, P05
[4] [Anonymous], 1984, Toeplitz forms and their applications
[5] Fekete-Szego Inequalities for a New Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials
Caglar, Murat
Cotirla, Luminita-Ioana
Buyankara, Mucahit
[J]. SYMMETRY-BASEL, 2022, 14 (08):
[6] Symmetric Toeplitz Matrices for a New Family of Prestarlike Functions
Cotirla, Luminita-Ioana
Wanas, Abbas Kareem
[J]. SYMMETRY-BASEL, 2022, 14 (07):
[7] Pascal Distribution Series Connected with Certain Subclasses of Univalent Functions
El-Deeb, Sheeza M.
Bulboaca, Teodor
Dziok, Jacek
[J]. KYUNGPOOK MATHEMATICAL JOURNAL, 2019, 59 (02): : 301 - 314
[8] ON BOUNDS OF TOEPLITZ DETERMINANTS FOR A SUBCLASS OF ANALYTIC FUNCTIONS
Kamali, Muhammet
Riskulova, Alina
[J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 14 (03): : 36 - 48
[9] Nazeer W., 2019, J. Comput. Anal. Appl., V26, P11
[10] Pommerenke C., 1975, Univalent Functions

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