Rational · entire
The image of the unit disk under \(f\): concentric circles \(|z|=r\) and radial spokes mapped through \(f(z)=z+a_2z^2+\dots\); the bold curve is the boundary \(f(e^{i\theta})\). Rendered in your browser from the certified Taylor coefficients - nothing is computed server-side.
| Property | Kind | Params | Holds | Value / r | Status | Confidence |
|---|---|---|---|---|---|---|
| S* | membership | {} | ✗ | r ≤ 0.900 | ✗ disproven | proven |
| Verifier | Property | Direction | Outcome | Domain r | Witness | Engine |
|---|---|---|---|---|---|---|
| boundary_scan_closed_form_v31 | starlike | disproves | pass | 0.900 | 0.95*exp(i*0.546097) | boundary_v3.1 |
| pointwise_starlike_iv | starlike | disproves | pass | 0.895 | [0.7242401715190179, -0.5261912850984637] | gft-0.1.0-reaudit-20260610 |
| boundary_scan_closed_form | starlike | disproves | pass | 0.900 | 0.95*exp(i*0.546097) | boundary_v3.0 |