Hankel inequalities for a subclass of bi-univalent functions based on Salagean type q-difference operator

Yalçın Tokgöz S., Altınkaya Ş., Murugusundaramoorthy G., Vijaya K.

JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES, cilt.52, sa.2, ss.189-201, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.5614/j.math.fund.sci.2020.52.2.4
  • Dergi Adı: JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Directory of Open Access Journals
  • Sayfa Sayıları: ss.189-201
  • Anahtar Kelimeler: bi-univalent, coefficient bounds, convex functions, Hankel inequalities, Starlike, univalent, COEFFICIENT, DETERMINANT
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this investigation a new subclass of bi-univalent functions is established that are defined in the open unit disk Delta={Z is an element of(C:vertical bar IZ vertical bar < 1) and are endowed with the Salagean type q-difference operator. Then, Hankel inequalities for the new function class are obtained and several related consequences of the results are also stated.