Coefficient bounds for q-close-to-convex functions associated with vertical strip domain

Bulut S.

Filomat, cilt.38, sa.17, ss.6003-6015, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 17
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2417003b
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6003-6015
  • Anahtar Kelimeler: Analytic function, coefficient bound, q-close-to-convex function, subordination
  • Kocaeli Üniversitesi Adresli: Evet

Özet

Let A denote the class of functions f which are analytic in the open unit disk U and given by (Formula Presented) In a very recent paper, Alqahtani et al. [AIMS Mathematics 8 (4) (2023), 9385-9399] defined a new subclass S*q α, β (0 ≤ α < 1 < β, 0 < q < 1) consists of functions f ∈ A satisfying the following condition: (Formula Presented) where ∂q f is Jackson’s q-derivative of f. In this study, we introduce a new subclass Sq,g (α, β) of analytic and q-close-to-convex functions satisfying [Formula Presented], where 0 ≤ α < 1 < β and g ∈ S*q (δ, β) with 0 ≤ δ < 1 < β. The main purpose of this paper is to determine some coefficient bounds for functions f ∈ A satisfying the non-homogenous Cauchy-Euler fractional q-differential equation associated with analytic functions belong to the class Sq,g(α, β).