On the (p, q)-Lucas polynomial coefficient bounds of the bi-univalent function class sigma

Altınkaya Ş., Yalcin S.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.25, sa.3, ss.567-575, 2019 (ESCI) identifier identifier

  • 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.