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Class Fekete–SzegőH₂(2)H₃(1)Zalcman
Bean S*_𝔅 ✓ ≈✦ ? ?
Bell S*_B ✓ ? ? ?
Booth lemniscate BS(3/10) - - - -
Booth lemniscate BS(7/10) - - - -
Cardioid S*_C ✓ ? ? ?
Cardioid S*_℘ ✓ ? ? ?
Cissoid S*_{cs} ✓ ? ? ?
Cosh-sqrt ✓ ≈ ? ?
Crescent ✓ ? ? ?
Epicycloid S*_{3ℒ} ✓ ≈ ? ?
Epicycloid S*_{6ℒ} ✓ ? ? ?
Exponential S*_e ✓ ? ? ?
Four-leaf S*_{4L} ✓ ≈ ? ?
Janowski S*[1/2,-1/2] ✓ ? ? ?
Janowski S*[3/4,-1/4] ✓ ? ? ?
Janowski S*[0,-1] - - - -
Janowski S*[1,-1/2] ✓ ? ? ?
Janowski S*[1,0] ✓ ? ? ?
Lemniscate S*_L ✓ ≈✦ ?✦ ?✦
Limaçon S*(s=3/10) ✓ ≈ ? ?
Limaçon S*(s=1/2) ✓ ? ? ?
Limaçon S*(s=√2/2) ✓ ? ? ?
Nephroid S*_{Ne} ✓ ? ? ?
Non-convex S*_{nc} ✓ ? ? ?
Starlike of order 1/4 ✓ ? ? ?
Starlike of order 1/2 ✓ ? ? ?
Starlike of order 3/4 ✓ ≈ ? ?
Parabolic S_p ✓ ? ? ?
Petal S*_ρ ✓ ? ? ?
Rational S*_R ✓ ≈ ? ?
Sigmoid S*_{SG} ✓ ≈✦ ? ?
Sine S*_{\sin} ✓ ? ? ?
Starlike S* ✓✦ ? ?✦ ?✦
Strip S*_τ ✓ ? ? ?
Strongly starlike SS*(1/4) ✓ ≈ ? ?
Strongly starlike SS*(1/2) ✓ ? ? ?
Strongly starlike SS*(3/4) ✓ ? ? ?
Tanh S*_{\tanh} ✓ ? ? ?
Three-leaf ✓ ≈ ? ?
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