Sentence examples for consisting of analytic from inspiring English sources

For all p > 1, the space Q p is the same and equal to the Bloch space, consisting of analytic functions f in such that ∥ f ∥ B = | f ( 0 ) | + sup z ∈ D | f ′ ( z ) | ( 1 − | z | 2 ) < ∞. (1.2).

Consequently, for the class S consisting of analytic functions f ( z ) = z + ∑ n = 2 ∞ a n z n that are univalent in U, we have the following upper bound of the operator T z α, β.

The methodology consists of analytic network process (ANP), reality-design gap evaluation and fuzzy inference system.

It consists of analytics, business intelligence (BI), big data and things like journey mapping that we are still learning about.

We denote by S ∗, K and C the subclasses of A consisting of all analytic functions which are, respectively, starlike, convex and close-to-convex in U (see, e.g., Srivastava and Owa [1]).

(4.9) Let us write Q sigmacscalpha,t_{0},t)= expbigl[ t-t_{0}) tildexpbigl[ t-t_{lpha)bigr], (4.10} consistilde{P}entire analytic functionsigmacscalpha bigr]= w +itau).

Let P be the class of functions with positive real part consisting of all analytic functions p : D → C satisfying p ( 0 ) = 1 and Re p ( z ) > 0. We need the following results about the functions belonging to the class P. Lemma 1 [31].

Molecular weight determination was performed by gel permeation chromatography (GPC) with a double detection system consisting of a Postnova Analytics PN 3000 (15°) laser-light scattering (LLS) detector and a Jasco RID-1531 refractindexndex (RI) detector.

The Graduate Writing Exam (GWE) consists of one analytic summary essay of 750 – 1250 words written between May 21-May 28 , 2019 and submitted online.

This subspace consists of functions analytic in ({mathbb{C}}_) with zeros of the order −æ in the point (z=i).

For instance, let be the unit disk in, if (see [2]), where, consists of those analytic functions in for which (1.3).