A q-Rogers-Ramanujan-based characterization of q-bi-bounded turning functions
Küçük Resim Yok
Tarih
2026
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
