A q-Rogers-Ramanujan-based characterization of q-bi-bounded turning functions
Küçük Resim Yok
Tarih
2026
Yazarlar
Khan, Bilal
Shaba, Timilehin Gideon
Araci, Serkan
Adebesin, Babatunde Olufemi
Usta, Fuat
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
De Gruyter Poland Sp Z O O
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
This study investigates the second Hankel determinant for a specific class of functions associated with the q-Rogers-Ramanujan polynomial. To accomplish this, we introduce a new subclass of q-bounded turning functions related to the q-Rogers-Ramanujan polynomial, denoted as S R Sigma ( q , l , g ) $\mathcal{S}{\mathcal{R}}_{{\Sigma}}\left(q,l,g ight)$ . In complex analysis, establishing precise coefficient bounds for bi-univalent functions is crucial, as these coefficients influence the core properties of conformal mappings. In this work, we derive coefficient bounds for functions within the subclass S R Sigma ( q , l , g ) $\mathcal{S}{\mathcal{R}}_{{\Sigma}}\left(q,l,g ight)$ , with most of the identified bounds being sharp. This research may stimulate further studies on sharp bounds for analytic functions associated with novel image domains.
Açıklama
Anahtar Kelimeler
[Keyword Not Available]
Kaynak
Demonstratio Mathematica
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
59
Sayı
1
