Sentence examples for class of normalized from inspiring English sources

Denote by the class of normalized analytic functions defined in.

We denote by the class of normalized analytic functions defined in.

We introduce a new class of normalized norms on which properly contains all absolute normalized norms.

For (p=1), we receive the well-known class of normalized starlike univalent functions (mathcal{S}^ alpha)) of order α, (mathcal{S}_{p}^(0)=mathcal{S}_{p}^).

For (p=1), we receive the well-known class of normalized convex univalent functions (mathcal{C} alpha)) of order α, (mathcal{C}_{p}(0)=mathcal{C}_{p}).

For real α and β such that 0 ≤ α < 1 < β, we denote by S the class of normalized analytic functions f such that α < Re { z f ′ ( z ) / f ( z ) } < β in.

Note that for (g z equiv0), the class (mathcal{H}) reduces to the class (mathcal{S}) of normalized analytic functions univalent in (mathbb{D}).

We now consider the Ptolemy constant of a class of absolute normalized norms on ℝ2.

We now consider the constant J X, p (1) of a class of absolute normalized norms on ℝ2.

Let A denotes the class of the normalized functions of the form f ( z ) = z + ∑ n = 2 ∞ a n z n, (1.1).

In our method, these bits of knowledge are extracted from the semantic argument class of LMF normalized dictionary that are associated with a semantic predicate and linked to an appropriate syntactic behaviour.