Applications of the q-derivative operator to new families of bi-univalent functions related to the Legendre polynomials
| dc.contributor.author | Cheng, Ying | |
| dc.contributor.author | Srivastava, Rekha | |
| dc.contributor.author | Liu, Jin-Lin | |
| dc.date.accessioned | 2022-11-13T14:58:28Z | |
| dc.date.available | 2022-11-13T14:58:28Z | |
| dc.date.copyright | 2022 | en_US |
| dc.date.issued | 2022 | |
| dc.description.abstract | By using the q-derivative operator and the Legendre polynomials, some new subclasses of q-starlike functions and bi-univalent functions are introduced. Several coefficient estimates and Fekete–Szegö-type inequalities for functions in each of these subclasses are obtained. The results derived in this article are shown to extend and generalize those in some earlier works. | en_US |
| dc.description.reviewstatus | Reviewed | en_US |
| dc.description.scholarlevel | Faculty | en_US |
| dc.description.sponsorship | This work was supported by the National Natural Science Foundation of China (Grant No. 11571299). | en_US |
| dc.identifier.citation | Cheng, Y., Srivastava, R., & Liu, J. (2022). “Applications of the q-derivative operator to new families of bi-univalent functions related to the Legendre polynomials.” Axioms, 11(11), 595. https://doi.org/10.3390/axioms11110595 | en_US |
| dc.identifier.uri | https://doi.org/10.3390/axioms11110595 | |
| dc.identifier.uri | http://hdl.handle.net/1828/14459 | |
| dc.language.iso | en | en_US |
| dc.publisher | Axioms | en_US |
| dc.subject | analytic functions | |
| dc.subject | bi-univalent functions | |
| dc.subject | q-derivative operator | |
| dc.subject | subordination between analytic functions | |
| dc.subject | Legendre polynomials | |
| dc.subject | Fekete–Szegö inequality | |
| dc.subject.department | Department of Mathematics and Statistics | |
| dc.title | Applications of the q-derivative operator to new families of bi-univalent functions related to the Legendre polynomials | en_US |
| dc.type | Article | en_US |