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## Main Question or Discussion Point

I know the concepts of conformal mapping and complex mapping but I didn’t see none explanation about how apply this ideia and formula for convert a curve, or a function, between different maps.

Look this illustration…

In the Cartesian map, I basically drew a liner function f(x) = ax+b (defined by part). Which would be the graph curve and the algebraic expression equivalent in the polar map and log-polar map?

Look this illustration…

In the Cartesian map, I basically drew a liner function f(x) = ax+b (defined by part). Which would be the graph curve and the algebraic expression equivalent in the polar map and log-polar map?