Subordination Method for the Estimation of Certain Subclass of Analytic Functions Defined by the q-Derivative Operator
In this paper, we investigate an interesting class of analytic and biunivalent functions in the open unit disk Δ which is defined using the q-derivative operator. We apply the subordination method to the functional of coefficients problem. Furthermore, we obtain the bounds of the certain functional...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/5078060 |
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| _version_ | 1832553639038681088 |
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| author | Hormoz Rahmatan Ali Shokri Hijaz Ahmad Thongchai Botmart |
| author_facet | Hormoz Rahmatan Ali Shokri Hijaz Ahmad Thongchai Botmart |
| author_sort | Hormoz Rahmatan |
| collection | DOAJ |
| description | In this paper, we investigate an interesting class of analytic and biunivalent functions in the open unit disk Δ which is defined using the q-derivative operator. We apply the subordination method to the functional of coefficients problem. Furthermore, we obtain the bounds of the certain functional of coefficients for functions in the class HΣqλ,β, for real and complex parameters. Also, an estimation for the initial Taylor and Maclaurin coefficients of functions in HΣqλ,α was given. |
| format | Article |
| id | doaj-art-d25237525c7b464c867fcb386f4027dd |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d25237525c7b464c867fcb386f4027dd2025-02-03T05:53:35ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/5078060Subordination Method for the Estimation of Certain Subclass of Analytic Functions Defined by the q-Derivative OperatorHormoz Rahmatan0Ali Shokri1Hijaz Ahmad2Thongchai Botmart3Department of MathematicsDepartment of MathematicsSection of MathematicsDepartment of MathematicsIn this paper, we investigate an interesting class of analytic and biunivalent functions in the open unit disk Δ which is defined using the q-derivative operator. We apply the subordination method to the functional of coefficients problem. Furthermore, we obtain the bounds of the certain functional of coefficients for functions in the class HΣqλ,β, for real and complex parameters. Also, an estimation for the initial Taylor and Maclaurin coefficients of functions in HΣqλ,α was given.http://dx.doi.org/10.1155/2022/5078060 |
| spellingShingle | Hormoz Rahmatan Ali Shokri Hijaz Ahmad Thongchai Botmart Subordination Method for the Estimation of Certain Subclass of Analytic Functions Defined by the q-Derivative Operator Journal of Function Spaces |
| title | Subordination Method for the Estimation of Certain Subclass of Analytic Functions Defined by the q-Derivative Operator |
| title_full | Subordination Method for the Estimation of Certain Subclass of Analytic Functions Defined by the q-Derivative Operator |
| title_fullStr | Subordination Method for the Estimation of Certain Subclass of Analytic Functions Defined by the q-Derivative Operator |
| title_full_unstemmed | Subordination Method for the Estimation of Certain Subclass of Analytic Functions Defined by the q-Derivative Operator |
| title_short | Subordination Method for the Estimation of Certain Subclass of Analytic Functions Defined by the q-Derivative Operator |
| title_sort | subordination method for the estimation of certain subclass of analytic functions defined by the q derivative operator |
| url | http://dx.doi.org/10.1155/2022/5078060 |
| work_keys_str_mv | AT hormozrahmatan subordinationmethodfortheestimationofcertainsubclassofanalyticfunctionsdefinedbytheqderivativeoperator AT alishokri subordinationmethodfortheestimationofcertainsubclassofanalyticfunctionsdefinedbytheqderivativeoperator AT hijazahmad subordinationmethodfortheestimationofcertainsubclassofanalyticfunctionsdefinedbytheqderivativeoperator AT thongchaibotmart subordinationmethodfortheestimationofcertainsubclassofanalyticfunctionsdefinedbytheqderivativeoperator |