(P, Q)-Lucas polynomial coefficient inequalities of bi-univalent functions defined by the combination of both operators of Al-Aboudi and Ruscheweyh

ORHAN H., Arikan H.

AFRIKA MATEMATIKA, cilt.32, sa.3-4, ss.589-598, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 3-4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s13370-020-00847-5
  • Dergi Adı: AFRIKA MATEMATIKA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.589-598
  • Anahtar Kelimeler: (P, Q)-Lucas polynomials, Bi-univalent functions, Coefficient bounds, Ruscheweyh and Al-Aboudi operator, SUBCLASSES, BOUNDS, STARLIKE
  • Atatürk Üniversitesi Adresli: Evet

Özet

Very recently, Lucas polynomials and other some special polynomials gained big importance in the field of geometric functions, a sub-branch of complex analysis. In the present investigation by connecting these polynomials, subordination, and the combination of Al-Aboudi and Ruscheweyh differential operators, we introduce a new class of bi univalent functions and obtain coefficient estimates and Fekete-Szego inequalities for this new class.