Exponential · 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 |
|---|---|---|---|---|---|---|
| B | membership | {} | - | 2.9575 | retracted | - |
| N | membership | {} | - | 5.6673 | retracted | - |
| ||T(f)|| | bound | {} | - | 2.9575 | retracted | - |
| ||S(f)|| | bound | {} | - | 5.6673 | retracted | - |
| S* | membership | {} | - | - | retracted | - |
| Verifier | Property | Direction | Outcome | Domain r | Witness | Engine |
|---|---|---|---|---|---|---|
| boundary_scan_closed_form_v31 | starlike | disproves | pass | 0.300 | 0.6*exp(i*2.945243) | boundary_v3.1 |
| pointwise_nehari_univalent_iv | nehari_univalent | disproves | pass | 0.500 | [-0.5002521008403361, 6.126321340608566e-17] | gft-0.1.0-reaudit-20260610 |
| pointwise_becker_univalent_iv | becker_univalent | disproves | pass | 0.500 | [-0.5002521008403361, 6.126321340608566e-17] | gft-0.1.0-reaudit-20260610 |
| pointwise_starlike_iv | starlike | disproves | pass | 0.990 | [-0.99, 1.2124003311558797e-16] | gft-0.1.0-reaudit-20260610 |
| boundary_scan_centered_v31 | starlike | disproves | pass | 0.300 | 0.6*exp(i*3.362486) | boundary_v3.1 |
| boundary_scan_closed_form | starlike | disproves | pass | 0.300 | 0.6*exp(i*2.945243) | boundary_v3.0 |
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