APPLICATIONS OF NON-HOMOGENEOUS CAUCHY-EULER FRACTIONAL q-DIFFERENTIAL EQUATION TO A NEW CLASS OF ANALYTIC FUNCTIONS
Khayyam Journal of Mathematics, cilt.9, sa.2, ss.288-299, 2023 (Scopus)
- 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.