Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential Operator
In this work, an explicit formula for a class of Bi-Bazilevic univalent functions involving differential operator is given, as well as the determination of upper bounds for the general Taylor-Maclaurin coefficient of a functions belong to this class, are established Faber polynomials are used as a...
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University of Baghdad, College of Science for Women
2019-03-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3241 |
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| author | Juma et al. |
| author_facet | Juma et al. |
| author_sort | Juma et al. |
| collection | DOAJ |
| description | In this work, an explicit formula for a class of Bi-Bazilevic univalent functions involving differential operator is given, as well as the determination of upper bounds for the general Taylor-Maclaurin coefficient of a functions belong to this class, are established Faber polynomials are used as a coordinated system to study the geometry of the manifold of coefficients for these functions. Also determining bounds for the first two coefficients of such functions.
In certain cases, our initial estimates improve some of the coefficient bounds and link them to earlier thoughtful results that are published earlier. |
| format | Article |
| id | doaj-art-af87bb70e25b48898d7ff3705bbda5cf |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2019-03-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-af87bb70e25b48898d7ff3705bbda5cf2025-08-20T03:57:39ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862019-03-0116110.21123/bsj.16.1.(suppl.).0248Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential OperatorJuma et al.In this work, an explicit formula for a class of Bi-Bazilevic univalent functions involving differential operator is given, as well as the determination of upper bounds for the general Taylor-Maclaurin coefficient of a functions belong to this class, are established Faber polynomials are used as a coordinated system to study the geometry of the manifold of coefficients for these functions. Also determining bounds for the first two coefficients of such functions. In certain cases, our initial estimates improve some of the coefficient bounds and link them to earlier thoughtful results that are published earlier.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3241Bi-Bazilevic functions, Faber polynomials, Taylor-Maclaurin coefficients, Taylor-Maclaurin series expansion, Univalent functions. |
| spellingShingle | Juma et al. Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential Operator مجلة بغداد للعلوم Bi-Bazilevic functions, Faber polynomials, Taylor-Maclaurin coefficients, Taylor-Maclaurin series expansion, Univalent functions. |
| title | Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential Operator |
| title_full | Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential Operator |
| title_fullStr | Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential Operator |
| title_full_unstemmed | Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential Operator |
| title_short | Faber Polynomial Coefficient Estimates for Subclass of Analytic Bi-Bazilevic Functions Defined by Differential Operator |
| title_sort | faber polynomial coefficient estimates for subclass of analytic bi bazilevic functions defined by differential operator |
| topic | Bi-Bazilevic functions, Faber polynomials, Taylor-Maclaurin coefficients, Taylor-Maclaurin series expansion, Univalent functions. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3241 |
| work_keys_str_mv | AT jumaetal faberpolynomialcoefficientestimatesforsubclassofanalyticbibazilevicfunctionsdefinedbydifferentialoperator |