univalency

the univalency of the function was easily proven by examining its derivative.

geometric interpretation helps in understanding the concept of univalency.

we need to verify the univalency of this analytical function.

the condition for univalency is a key topic in geometric function theory.

proving the univalency of a solution often requires advanced techniques.

certain integral operators preserve the univalency of a function.

the criteria for univalency can be checked using numerical methods.

sufficient conditions for univalency are derived in this paper.

this coefficient inequality provides a test for univalency.

the study of univalency includes various subclasses of analytic functions.

univalency failure can lead to incorrect numerical results.