Ruscheweyh-type starlike functions of complex order associated with <i>q</i>-difference operator


Cetinkaya A.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, cilt.26, sa.2, ss.385-398, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s40590-019-00268-w
  • Dergi Adı: BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Sayfa Sayıları: ss.385-398
  • İstanbul Kültür Üniversitesi Adresli: Evet

Özet

In this paper, we introduce three new subclasses of starlike functions of complex order by using Ruscheweyh-type q-differential operator. We investigate inclusion theorem, sufficient coefficient estimates, distortion bounds and radius of starlikeness for the functions belonging to these subclasses. Moreover, partial sums of these subclasses were obtained.