INITIAL BOUNDS FOR CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS DEFINED BY THE (p,q)-LUCAS POLYNOMIALS
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Isik University
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
(p, q)-Lucas polynomials, bi-convex functions, bi-Mocanu-convex functions, bi-starlike functions, bi-univalent functions, bi-?—starlike functions, Chebyshev polynomials, Fekete-Szegö problem, Univalent functions
Kaynak
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
11
Sayı
1
