Brief Study On A New Family of Analytic Functions
The authors introduced a new class of analytic functions in this study by means of convolution principle and obtain its relations with some well-known subclasses of analytic univalent functions in geometric functions theory in the open unit disk $\mathbb{D}$. Furthermore, as a special case, we show...
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| Format: | Article |
| Language: | English |
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University of Maragheh
2024-10-01
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| Series: | Sahand Communications in Mathematical Analysis |
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| Online Access: | https://scma.maragheh.ac.ir/article_715192_b0ff8fbcd49b17e1021611dd71dd7cae.pdf |
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| author | Jamiu Hamzat Gangadharan Murugusundaramoorthy Matthew Oluwayemi |
| author_facet | Jamiu Hamzat Gangadharan Murugusundaramoorthy Matthew Oluwayemi |
| author_sort | Jamiu Hamzat |
| collection | DOAJ |
| description | The authors introduced a new class of analytic functions in this study by means of convolution principle and obtain its relations with some well-known subclasses of analytic univalent functions in geometric functions theory in the open unit disk $\mathbb{D}$. Furthermore, as a special case, we show that convex functions of order 1/2 are also members of the family $\mathcal{B}(\mu, \beta, \lambda, \theta)$, for $0\leq \mu\leq 1$, $0\leq \beta < 1$, $\lambda\geq 0$ and $|\theta| < \frac{\pi}{2} $. Thereafter, we obtain the bounds of the first three Taylorr- Maclaurin coefficients for functions $f(z)$ belonging to the class $\mathcal{B}(\mu, \alpha, \beta, \lambda, \theta; \check{p})$ associated with shell-like curve. |
| format | Article |
| id | doaj-art-454023f98c82465b8f5b21a61744e734 |
| institution | Kabale University |
| issn | 2322-5807 2423-3900 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | University of Maragheh |
| record_format | Article |
| series | Sahand Communications in Mathematical Analysis |
| spelling | doaj-art-454023f98c82465b8f5b21a61744e7342025-02-11T05:27:48ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002024-10-0121410912210.22130/scma.2024.2011065.1457715192Brief Study On A New Family of Analytic FunctionsJamiu Hamzat0Gangadharan Murugusundaramoorthy1Matthew Oluwayemi2Department of Mathematics, University of Lagos. Akoka, Nigeria.School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University), Vellore 632014, Tamil Nadu, India.Department of Mathematics and Statistics, Margaret Lawrence University, Galilee, Nigeria.The authors introduced a new class of analytic functions in this study by means of convolution principle and obtain its relations with some well-known subclasses of analytic univalent functions in geometric functions theory in the open unit disk $\mathbb{D}$. Furthermore, as a special case, we show that convex functions of order 1/2 are also members of the family $\mathcal{B}(\mu, \beta, \lambda, \theta)$, for $0\leq \mu\leq 1$, $0\leq \beta < 1$, $\lambda\geq 0$ and $|\theta| < \frac{\pi}{2} $. Thereafter, we obtain the bounds of the first three Taylorr- Maclaurin coefficients for functions $f(z)$ belonging to the class $\mathcal{B}(\mu, \alpha, \beta, \lambda, \theta; \check{p})$ associated with shell-like curve.https://scma.maragheh.ac.ir/article_715192_b0ff8fbcd49b17e1021611dd71dd7cae.pdfunivalentanalyticstarlikeconvexspiralikebounded turning |
| spellingShingle | Jamiu Hamzat Gangadharan Murugusundaramoorthy Matthew Oluwayemi Brief Study On A New Family of Analytic Functions Sahand Communications in Mathematical Analysis univalent analytic starlike convex spiralike bounded turning |
| title | Brief Study On A New Family of Analytic Functions |
| title_full | Brief Study On A New Family of Analytic Functions |
| title_fullStr | Brief Study On A New Family of Analytic Functions |
| title_full_unstemmed | Brief Study On A New Family of Analytic Functions |
| title_short | Brief Study On A New Family of Analytic Functions |
| title_sort | brief study on a new family of analytic functions |
| topic | univalent analytic starlike convex spiralike bounded turning |
| url | https://scma.maragheh.ac.ir/article_715192_b0ff8fbcd49b17e1021611dd71dd7cae.pdf |
| work_keys_str_mv | AT jamiuhamzat briefstudyonanewfamilyofanalyticfunctions AT gangadharanmurugusundaramoorthy briefstudyonanewfamilyofanalyticfunctions AT matthewoluwayemi briefstudyonanewfamilyofanalyticfunctions |