Sentence examples for method of subordination from inspiring English sources

On the other hand, Ma and Minda [19] gave a unified presentation of the class starlike using the method of subordination.

These ideas led to the study of the class of all functions such that is starlike for some fixed function in In this direction, Shanmugam [2] introduced and investigated various subclasses of analytic functions by using the convex hull method [3 5] and the method of differential subordination.

For obtaining the main result, we shall use the method of differential subordinations.

By using the method of differential subordinations, we derive certain properties of meromorphically multivalent functions.

In particular, if the function g is univalent in U, the above subordination is equivalent to f ( 0 ) = g ( 0 ) and f ( U ) ⊂ g ( U ). Before proving our main theorem, we need a brief summary of the method of p-subordination chains.

The main object of this investigation is to give some sufficient conditions for analytic functions, by the method of p-subordination chains, to be the p th power of a univalent function in the open unit disk U. Also, the significant relationships and relevance to other results are also given.

Using the methods of differential subordination and superordination, sufficient conditions involving the Schwarzian derivative of a normalized analytic function are obtained so that either or.

Using the principle of subordination and (2.7), we see that the analytic dilatation is subordinate to.

Also, Wolff's dependence on the mathematical method and the subordination of the divine will to necessity were questioned.

"That's the concept of subordination," he said.

Thurgood Marshall himself emphasized the problem of subordination, or lower-caste status, in his arguments in Brown.