3-cusped epicycloid starlike — φ(z) = 1 + 3z/4 + z³/4 - Family

Canonical Key

ma_minda_epicycloid_3

Generating Definition

z f′(z)/f(z) ≺ φ(z) = 1 + 3z/4 + z³/4

Image domain \(f(\mathbb{D})\)

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.

Taylor series

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Facts (0)

Property	Kind	Params	Holds	Value / r	Status	Confidence

Verification Runs (0)

Verifier	Property	Direction	Outcome	Domain r	Witness	Engine

Instances (1)

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3-cusped epicycloid starlike — φ(z) = 1 + 3z/4 + z³/4

Image domain \(f(\mathbb{D})\)

Unit disk explorer - hover to evaluate

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Facts (0)

Verification Runs (0)

Instances (1)