Exploring a distinct group of analytical functions linked with Bernoulli’s Lemniscate using the 𝑞-derivative
| dc.contributor.author | Timilehin Gideon Shaba | |
| dc.date.accessioned | 2025-07-14T12:36:23Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | This research presents a new group of mathematical functions connected to Bernoulli’s Lemniscate, using the 𝑞-derivative. Expanding on previous studies, the research concentrates on determining coefficient approximations, the Fekete-Szego functional, Zalcman inequality, Krushkal inequality, along with the second and third Hankel determinants for this recently established collection of functions. Additionally, the study derives the Fekete-Szego inequality for the function 𝜉 𝑓(𝜉) and obtains the inverse function 𝑓−1(𝜉) for this specific class. This research advances our understanding in this area and suggests for further exploration | |
| dc.identifier.citation | Al-Shbeil, I., Shaba, T. G., Lupas, A. A., & Alhefthi, R. K. (2024). Exploring a distinct group of analytical functions linked with Bernoulli's Lemniscate using the q-derivative. Heliyon, 10(14). | |
| dc.identifier.uri | file:///Users/mac/Downloads/Dr.%20Shaba%20Timilehin%20Gideon%20(Department%20of%20Mathematics%20and%20Statistics)/PIIS2405844024101260.pdf | |
| dc.identifier.uri | https://repository.run.edu.ng/handle/123456789/5771 | |
| dc.language.iso | en_US | |
| dc.publisher | Heliyon | |
| dc.relation.ispartofseries | 10; 1 | |
| dc.subject | Hankel determinant | |
| dc.subject | 𝑞-derivative operator | |
| dc.subject | Fekete-Szego estimates | |
| dc.subject | Bounded turning function | |
| dc.subject | Krushkal inequality | |
| dc.subject | Zalcman inequality | |
| dc.title | Exploring a distinct group of analytical functions linked with Bernoulli’s Lemniscate using the 𝑞-derivative | |
| dc.type | Article |