INITIAL BOUNDS FOR CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY THE (p,q)-LUCAS POLYNOMIALS
| dc.contributor.author | Magesh N. | |
| dc.contributor.author | Abirami C. | |
| dc.contributor.author | Altinkaya Ş. | |
| dc.date.accessioned | 2024-03-13T10:01:23Z | |
| dc.date.available | 2024-03-13T10:01:23Z | |
| dc.date.issued | 2021 | |
| dc.department | İstanbul Beykent Üniversitesi | en_US |
| dc.description.abstract | Our present investigation is motivated essentially by the fact that, in Geometric Function Theory, one can find many interesting and fruitful usages of a wide variety of special functions and special polynomials. The main purpose of this article is to make use of the (p,q) — Lucas polynomials Lp,q,n(x) and the generating function (Formula presented), in order to introduce three new subclasses of the bi-univalent function class ?. For functions belonging to the defined classes, we then derive coefficient inequalities and the Fekete-Szegö inequalities. Some interesting observations of the results presented here are also discussed. We also provide relevant connections of our results with those considered in earlier investigations. © Işık University, Department of Mathematics, 2021. all rights reserved. | en_US |
| dc.identifier.endpage | 288 | en_US |
| dc.identifier.issn | 2146-1147 | |
| dc.identifier.issue | 1 | en_US |
| dc.identifier.scopus | 2-s2.0-85100626039 | en_US |
| dc.identifier.scopusquality | Q4 | en_US |
| dc.identifier.startpage | 282 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12662/3169 | |
| dc.identifier.volume | 11 | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Isik University | en_US |
| dc.relation.ispartof | Turkish World Mathematical Society Journal of Applied and Engineering Mathematics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | (p, q)-Lucas polynomials | en_US |
| dc.subject | bi-convex functions | en_US |
| dc.subject | bi-Mocanu-convex functions | en_US |
| dc.subject | bi-starlike functions | en_US |
| dc.subject | bi-univalent functions | en_US |
| dc.subject | bi-?—starlike functions | en_US |
| dc.subject | Chebyshev polynomials | en_US |
| dc.subject | Fekete-Szegö problem | en_US |
| dc.subject | Univalent functions | en_US |
| dc.title | INITIAL BOUNDS FOR CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY THE (p,q)-LUCAS POLYNOMIALS | en_US |
| dc.type | Article | en_US |
