A conformal mapping function within a complex domain maps the unit circle in the -plane to the -plane. Similarly, there is another function . Combining and , we can obtain .
Can this function also satisfy conformal mapping, and are there any applicable conditions for it to do so?
The following figure is an attempt I made. If feasible, can any smooth and simply connected region be combined with for conformal mapping?A conformal mapping function within a complex domain maps the unit circle in the -plane to the -plane. Similarly, there is another function . Combining and , we can obtain .
Can this function also satisfy conformal mapping, and are there any applicable conditions for it to do so?
The following figure is an attempt I made. If feasible, can any smooth and simply connected region be combined with for conformal mapping? A conformal mapping function within a complex domain maps the unit circle in the -plane to the -plane. Similarly, there is another function . Combining and , we can obtain .
Can this function also satisfy conformal mapping, and are there any applicable conditions for it to do so?
The following figure is an attempt I made. If feasible, can any smooth and simply connected region be combined with for conformal mapping? equation, mapping function, conformal mapping, matlab function MATLAB Answers — New Questions

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