Close-to-Convex · polynomial
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 |
|---|---|---|---|---|---|---|
| K | membership | {} | ✗ | -189.3462 | unscreened | - |
| r* | radius | {} | - | r ≤ 0.960 | 🔬 screened | numerical_strong |
| S* | membership | {} | - | -161.1148 | retracted | - |
| S | membership | {} | ✗ | - | unscreened | - |
| Verifier | Property | Direction | Outcome | Domain r | Witness | Engine |
|---|---|---|---|---|---|---|
| boundary_scan_centered_v31 | starlike | disproves | pass | - | - | boundary_v3.1 |
| pointwise_starlike_iv | starlike | disproves | pass | 0.492 | [-0.4923529411764705, 6.029584534625496e-17] | gft-0.1.0-reaudit-20260610 |
| boundary_scan_polynomial | starlike | disproves | pass | 0.300 | 0.3*exp(i*3.239767) | boundary_v3.0 |
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