Find all functions that satisfy the identity

Printable View

- Dec 24th 2008, 06:59 AMWinding FunctionFunctional Equation
Find all functions that satisfy the identity

- Dec 24th 2008, 09:18 AMPaulRS
Consider the change of variables:

Then we get: ( check that the denominator is never 0)

So we've got these 2 equations:

Thus:

Again take:

Then:

Consider then the system of equations:

and solve for - Dec 24th 2008, 10:11 AMWinding Function
- Dec 24th 2008, 10:12 AMPaulRS
- Dec 24th 2008, 05:41 PMWinding Function
- Dec 24th 2008, 06:23 PMKrizalid
- Dec 24th 2008, 07:56 PMWinding Function
- Dec 24th 2008, 10:31 PMMathstud28