Sentence examples for distortion growth from inspiring English sources

Also distortion, growth estimates as well as covering theorem are derived.

We also prove the linear distortion growth between hyperbolic space Hn,n≥3 and a tree.

He obtained distortion, growth and covering estimates as well as bounds for the initial coefficients of the unified classes.

In particular, we obtain an estimate for the Fekete-Szegö functional for functions belonging to the class, distortion, growth estimates and covering theorems.

In proving our results, we do not assume the univalence or starlikeness of φ as they were required only in obtaining the distortion, growth estimates and the convolution theorems.

Then we study the transport of Poincaré constants by quasi-isometries and we give sharp lower and upper bounds for the homotopy distortion growth for a certain class of hyperbolic metric spaces, a quotient of a Heintze group R⋉Rn by Zn.

In the next theorem, we derive the distortion and growth estimates for the functions in the class K s.

The second coefficient of univalent function plays an important role in the theory of univalent function; for example, this leads to the distortion and growth estimates for univalent functions as well as the rotation theorem.

They proved the sharp distortion and growth estimates for functions in K s as well as some sufficient conditions in terms of the coefficient for function to be in this class K s.

We note that the distortion and growth theorem in our study is sharp, because by choosing the suitable analytic dilatation and, we can find the extremal function in the following manner: (2.19).

Excessive guarantees create significant and corrupting distortions, including unnatural growth, distorted competition, and reduced incentives to manage risk properly.