Yazar "Gueney, Hatun oezlem" seçeneğine göre listele

Listeleniyor 1 - 2 / 2
  • [ X ]
    Öğe
    Introduction in third-order fuzzy differential subordination
    (Hacettepe Univ, Fac Sci, 2024) Oros, Georgia Irina; Oros, Gheorghe; Gueney, Hatun oezlem
    In light of the well-established and widely-used theory of differential subordination, recent works incorporating fuzzy elements into Geometric Function Theory have given rise to the concept of fuzzy differential subordination. Second-order fuzzy differential sub ordinations were taken into consideration for studies up until this point. The research described in this paper aims to expand the concept of fuzzy differential subordination to third-order fuzzy differential subordination, building on an idea first put forth in 2011 by Jos & eacute; A. Antonino and Sanford S. Miller and still being investigated by scholars today. The key concepts and preliminary findings required for the development of this branch of fuzzy differential subordination are introduced. The class of admissible functions is specified, the fundamental theorems are established and the fundamental concepts of the third-order fuzzy subordination approach are presented. Several examples constructed as applications of the new results demonstrate the applicability of the new findings.
  • [ X ]
    Öğe
    Starlike Functions of the Miller-Ross-Type Poisson Distribution in the Janowski Domain
    (Mdpi, 2024) Murugusundaramoorthy, Gangadharan; Gueney, Hatun oezlem; Breaz, Daniel
    In this paper, considering the various important applications of Miller-Ross functions in the fields of applied sciences, we introduced a new class of analytic functions f, utilizing the concept of Miller-Ross functions in the region of the Janowski domain. Furthermore, we obtained initial coefficients of Taylor series expansion of f, coefficient inequalities for f-1 and the Fekete-Szego problem. We also covered some key geometric properties for functions f in this newly formed class, such as the necessary and sufficient condition, convex combination, sequential subordination and partial sum findings.