Some properties for certain class of bi-univalent functions defined by q-Cătaş operator with bounded boundary rotation
Throughout the paper, we introduce a new subclass $ \mathcal{H}_{\alpha, \mu, \rho, m, \beta }^{n, q, \lambda, l}\ f(z)$ by using the Bazilevič functions with the idea of bounded boundary rotation and $ q $-analogue Cătaş operator. Also we find the estimate of the coefficients for functions in this...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022053?viewType=HTML |
| _version_ | 1798022179395207168 |
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| author | S. M. Madian |
| author_facet | S. M. Madian |
| author_sort | S. M. Madian |
| collection | DOAJ |
| description | Throughout the paper, we introduce a new subclass $ \mathcal{H}_{\alpha, \mu, \rho, m, \beta }^{n, q, \lambda, l}\ f(z)$ by using the Bazilevič functions with the idea of bounded boundary rotation and $ q $-analogue Cătaş operator. Also we find the estimate of the coefficients for functions in this class. Finally, in the concluding section, we have chosen to reiterate the well-demonstrated fact that any attempt to produce the rather straightforward $ (p, q) $-variations of the results, which we have presented in this article, will be a rather trivial and inconsequential exercise, simply because the additional parameter $ p $ is obviously redundant. |
| first_indexed | 2024-04-11T17:25:38Z |
| format | Article |
| id | doaj.art-5fec425da6db40b9b4ab33e6aec08c06 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T17:25:38Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-5fec425da6db40b9b4ab33e6aec08c062022-12-22T04:12:19ZengAIMS PressAIMS Mathematics2473-69882022-01-017190391410.3934/math.2022053Some properties for certain class of bi-univalent functions defined by q-Cătaş operator with bounded boundary rotationS. M. Madian0Basic Sciences Department, Higher Institute for Engineering and Technology, New Damietta, EgyptThroughout the paper, we introduce a new subclass $ \mathcal{H}_{\alpha, \mu, \rho, m, \beta }^{n, q, \lambda, l}\ f(z)$ by using the Bazilevič functions with the idea of bounded boundary rotation and $ q $-analogue Cătaş operator. Also we find the estimate of the coefficients for functions in this class. Finally, in the concluding section, we have chosen to reiterate the well-demonstrated fact that any attempt to produce the rather straightforward $ (p, q) $-variations of the results, which we have presented in this article, will be a rather trivial and inconsequential exercise, simply because the additional parameter $ p $ is obviously redundant.https://www.aimspress.com/article/doi/10.3934/math.2022053?viewType=HTMLbi-univalent functionsq-analogue cătaş operatorbazilevič functionsbounded boundary rotation |
| spellingShingle | S. M. Madian Some properties for certain class of bi-univalent functions defined by q-Cătaş operator with bounded boundary rotation AIMS Mathematics bi-univalent functions q-analogue cătaş operator bazilevič functions bounded boundary rotation |
| title | Some properties for certain class of bi-univalent functions defined by q-Cătaş operator with bounded boundary rotation |
| title_full | Some properties for certain class of bi-univalent functions defined by q-Cătaş operator with bounded boundary rotation |
| title_fullStr | Some properties for certain class of bi-univalent functions defined by q-Cătaş operator with bounded boundary rotation |
| title_full_unstemmed | Some properties for certain class of bi-univalent functions defined by q-Cătaş operator with bounded boundary rotation |
| title_short | Some properties for certain class of bi-univalent functions defined by q-Cătaş operator with bounded boundary rotation |
| title_sort | some properties for certain class of bi univalent functions defined by q catas operator with bounded boundary rotation |
| topic | bi-univalent functions q-analogue cătaş operator bazilevič functions bounded boundary rotation |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022053?viewType=HTML |
| work_keys_str_mv | AT smmadian somepropertiesforcertainclassofbiunivalentfunctionsdefinedbyqcatasoperatorwithboundedboundaryrotation |