On Lemniscate of Bernoulli of q-Janowski type
In this article, we introduce the q-analogue of functions characterized by the lemniscate of Bernoulli in the right-half plane and define the class $\mathbb{L}^{\ast}_{q}(A, B)$. Furthermore, we study the geometric properties of this class, which include coefficient inequalities, subordination fact...
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| Format: | Article |
| Language: | English |
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Nigerian Society of Physical Sciences
2022-10-01
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| Series: | Journal of Nigerian Society of Physical Sciences |
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| Online Access: | https://journal.nsps.org.ng/index.php/jnsps/article/view/961 |
| _version_ | 1797996868727209984 |
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| author | Afis Saliu Semiu Oladipupo Oladejo |
| author_facet | Afis Saliu Semiu Oladipupo Oladejo |
| author_sort | Afis Saliu |
| collection | DOAJ |
| description |
In this article, we introduce the q-analogue of functions characterized by the lemniscate of Bernoulli in the right-half plane and define the class $\mathbb{L}^{\ast}_{q}(A, B)$. Furthermore, we study the geometric properties of this class, which include coefficient inequalities, subordination factor sequence property, radii results and Fekete-Szeg$\ddot{\textup{o}}$ problems. Some deductions of our results show relevant connections between this present work and the existing ones in many literature. It is worthy of note that some of our results are sharp.
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| first_indexed | 2024-04-11T10:23:09Z |
| format | Article |
| id | doaj.art-df6f91119fd3473a9287b1be01130c52 |
| institution | Directory Open Access Journal |
| issn | 2714-2817 2714-4704 |
| language | English |
| last_indexed | 2024-04-11T10:23:09Z |
| publishDate | 2022-10-01 |
| publisher | Nigerian Society of Physical Sciences |
| record_format | Article |
| series | Journal of Nigerian Society of Physical Sciences |
| spelling | doaj.art-df6f91119fd3473a9287b1be01130c522022-12-22T04:29:40ZengNigerian Society of Physical SciencesJournal of Nigerian Society of Physical Sciences2714-28172714-47042022-10-014410.46481/jnsps.2022.961On Lemniscate of Bernoulli of q-Janowski typeAfis Saliu0Semiu Oladipupo Oladejo1Department of Mathematics, Gombe State University P.M.B 127, Tudun Wada, Gombe, Gombe State, Nigeria; Department of Mathematics, University of the Gambia, MDI Road, Kanifing P.O. Box 3530, Serrekunda, The GambiaDepartment of Mathematics, Gombe State University P.M.B 127, Tudun Wada, Gombe, Gombe State, Nigeria In this article, we introduce the q-analogue of functions characterized by the lemniscate of Bernoulli in the right-half plane and define the class $\mathbb{L}^{\ast}_{q}(A, B)$. Furthermore, we study the geometric properties of this class, which include coefficient inequalities, subordination factor sequence property, radii results and Fekete-Szeg$\ddot{\textup{o}}$ problems. Some deductions of our results show relevant connections between this present work and the existing ones in many literature. It is worthy of note that some of our results are sharp. https://journal.nsps.org.ng/index.php/jnsps/article/view/961Univalent functions, Schwarz functions, Lemniscate of Bernoulli, Subordination, Janowski Functions |
| spellingShingle | Afis Saliu Semiu Oladipupo Oladejo On Lemniscate of Bernoulli of q-Janowski type Journal of Nigerian Society of Physical Sciences Univalent functions, Schwarz functions, Lemniscate of Bernoulli, Subordination, Janowski Functions |
| title | On Lemniscate of Bernoulli of q-Janowski type |
| title_full | On Lemniscate of Bernoulli of q-Janowski type |
| title_fullStr | On Lemniscate of Bernoulli of q-Janowski type |
| title_full_unstemmed | On Lemniscate of Bernoulli of q-Janowski type |
| title_short | On Lemniscate of Bernoulli of q-Janowski type |
| title_sort | on lemniscate of bernoulli of q janowski type |
| topic | Univalent functions, Schwarz functions, Lemniscate of Bernoulli, Subordination, Janowski Functions |
| url | https://journal.nsps.org.ng/index.php/jnsps/article/view/961 |
| work_keys_str_mv | AT afissaliu onlemniscateofbernoulliofqjanowskitype AT semiuoladipupooladejo onlemniscateofbernoulliofqjanowskitype |