APPLICATIONS OF NON-HOMOGENEOUS CAUCHY-EULER FRACTIONAL q-DIFFERENTIAL EQUATION TO A NEW CLASS OF ANALYTIC FUNCTIONS

BULUT S.

Khayyam Journal of Mathematics, cilt.9, sa.2, ss.288-299, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.22034/kjm.2023.390830.2818
  • Dergi Adı: Khayyam Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.288-299
  • Anahtar Kelimeler: Analytic function, Cauchy-Euler differential equation, fractional q-derivative, q-convex function, q-starlike function
  • Kocaeli Üniversitesi Adresli: Evet

Özet

We define a new general fractional q-differential operator, and by means of this operator, we introduce a new subclass of analytic functions that are the solutions of the non-homogeneous Cauchy–Euler fractional q-differential equations. Our aim is to determine upper bounds of Taylor–Maclaurin coefficients for functions belong to this class.