Let S be the subclass of A consisting of univalent functions [1].
and R ≡ R is the subclass of consisting of prestarlike functions of order α which was introduced by Suffridge [10].
Let S be the subclass of A consisting of univalent functions in U with the normalized condition f ( 0 ) = 0 = f ′ ( 0 ) − 1.
Let N1 denote the class of generalized Nevanlinna functions with one negative square and let N1, 0 be the subclass of functions Q z)∈N1 with the additional properties limy→∞ Q iy)/y=0 and lim supy→∞ y |Im Q iy)|<∞.
Let (mathcal{widetilde{S}}_{(lambda_{p}), mu _{q}),b}^{s,a,lambda,*} alpha)) be the subclass of (mathcal {S}_{(lambda_{p}), mu_{q}),b}^{s,a,lambda,*} alpha)) that consists in all functions (f z) inmathcal{A}), which satisfy inequality (2.1).
In addition, it is worthwhile to note that OC pesticides were the subclass of POPs most strongly and consistently associated with type 2 diabetes and metabolic syndrome in previous studies (Ha et al. 2007; Lee et al. 2006a, 2006b, 2007).
Quercetin glycosides are flavonols, and both phloridzin and phloretin are categorized as the dihydrochlcones, but these two categories are the subclasses of flavonoids [33].
Let S, K, S ∗, and C be the subclasses of A which consist of univalent, close-to-convex, starlike (with respect to origin), and convex functions, respectively.
Let Σ ∗ and Σ k be the subclasses of Σ 1 consisting of all functions which are, respectively, meromorphically starlike and meromorphically convex in D (see, for details, [1, 5]).
Let S ∗ and K be the subclasses of A ( n ) consisting of all starlike functions f ( z ) in U and of all convex functions f ( z ) in U, respectively.
