Non-convex (sec) starlike — φ(z) = (1+z)/cos z - Family

Canonical Key

ma_minda_nonconvex_sec

Generating Definition

z f′(z)/f(z) ≺ φ(z) = (1+z)/cos z

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)

Papers in this φ-class (1)

Papers that explicitly study S*(φ) for this φ - conservatively tagged from the corpus (explicit φ formula, class symbol, or unambiguous name). Quote = the supporting passage.

Starlike Functions Associated with a Non-Convex Domain high

S. Sivaprasad Kumar, Surya Giri · 2024

“Class S*_nc: f in A : zf'(z)/f(z) subordinate to (1+z)/cos(z)”

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Non-convex (sec) starlike — φ(z) = (1+z)/cos z