Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator
In this article, we construct a new subclass of analytic functions involving a generalized differential operator and investigate certain properties including the radius of starlikeness, closure properties and integral means result for the class of analytic functions with negative coefficients. Furth...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/2/174 |
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| author | Matthew Olanrewaju Oluwayemi Kaliappan Vijaya Adriana Cătaş |
| author_facet | Matthew Olanrewaju Oluwayemi Kaliappan Vijaya Adriana Cătaş |
| author_sort | Matthew Olanrewaju Oluwayemi |
| collection | DOAJ |
| description | In this article, we construct a new subclass of analytic functions involving a generalized differential operator and investigate certain properties including the radius of starlikeness, closure properties and integral means result for the class of analytic functions with negative coefficients. Further, the relationship between the results and some known results in literature are also established. |
| first_indexed | 2024-03-10T01:01:19Z |
| format | Article |
| id | doaj.art-2e6db6fefda94d759fbc9aa6c3692dcd |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T01:01:19Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-2e6db6fefda94d759fbc9aa6c3692dcd2023-11-23T14:33:30ZengMDPI AGMathematics2227-73902022-01-0110217410.3390/math10020174Certain Properties of a Class of Functions Defined by Means of a Generalized Differential OperatorMatthew Olanrewaju Oluwayemi0Kaliappan Vijaya1Adriana Cătaş2SDG 4 (Quality Education Research Group), Landmark University, Omu-Aran 1001, NigeriaSchool of Advanced Sciences, VIT University, Vellore 632014, IndiaDepartment of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, RomaniaIn this article, we construct a new subclass of analytic functions involving a generalized differential operator and investigate certain properties including the radius of starlikeness, closure properties and integral means result for the class of analytic functions with negative coefficients. Further, the relationship between the results and some known results in literature are also established.https://www.mdpi.com/2227-7390/10/2/174closureintegral transformconvex setfractional calculus |
| spellingShingle | Matthew Olanrewaju Oluwayemi Kaliappan Vijaya Adriana Cătaş Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator Mathematics closure integral transform convex set fractional calculus |
| title | Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator |
| title_full | Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator |
| title_fullStr | Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator |
| title_full_unstemmed | Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator |
| title_short | Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator |
| title_sort | certain properties of a class of functions defined by means of a generalized differential operator |
| topic | closure integral transform convex set fractional calculus |
| url | https://www.mdpi.com/2227-7390/10/2/174 |
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