On the (p, q)-Lucas polynomial coefficient bounds of the bi-univalent function class sigma
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.25, sa.3, ss.567-575, 2019 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 25 Sayı: 3
- Basım Tarihi: 2019
- Doi Numarası: 10.1007/s40590-018-0212-z
- Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.567-575
- Anahtar Kelimeler: (p, q)-Lucas polynomials, Coefficient bounds, Bi-univalent functions, FIBONACCI, SUBCLASS
- Bursa Uludağ Üniversitesi Adresli: Evet
Özet
The idea of the present paper stems from the work of Lee and Ac (J Appl Math 2012:1-18, 2012). We want to remark explicitly that, in our article, by using the (p, q)-Lucas polynomials, our methodology builds a bridge, to our knowledge not previously well known, between the Theory of Geometric Functions and that of Special Functions, which are usually considered as very different fields. Thus, we aim at introducing a new class of bi-univalent functions defined through the (p, q)-Lucas polynomials. Furthermore, we derive coefficient inequalities and obtain Fekete-Szego problem for this new function class.