On k-uniformly close-to-convex functions of complex order

Uniformly Alpha-Quasi-Convex Functions Defined by Janowski Functions

“…When we consider = = 1, = = −1, and = 0 in Theorem 13, we obtain the following known result, proved by Noor et al [7].…”

“…− UK is the well known class of uniformly close-to-convex functions, introduced and studied by Noor et al [7].…”

Applications of a q-Salagean type operator on multivalent functions

“…and t ∈ (0, 1) is chosen such that k = cosh(πK (t)/(4K(t))). Here K(t) is Legendre's complete elliptic integral of the first kind and K (t) = K( √ 1t 2 ), and K (t) is the complementary integral of K(t) (for details, see [16,17,23]). Moreover, h k,γ (E) is convex univalent in E, see [16,17].…”

Coefficients estimates of some subclasses of analytic functions related with conic domain

“…Also let K γ and C * γ denote the well-known classes of close-to-convex and quasi-convex functions of complex order γ (γ = 0) respectively, see for details [2,12]. Kanas and Wisniowska [5,6] studied the classes of β-uniformly convex functions denoted by β − U CV and the corresponding class of β-starlike functions β − ST related by the Alexandar type relation.…”