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Results & Lemmas (3)
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Theorem 2.1
Theorem 2.1 Let f ∈RG be a function of the form (2.1). Then, for λ ∈R and homogeneous polynomials Q f,2, Q f,1, there holds the sharp…
Theorem 2.1 Let f ∈RG be a function of the form (2.1). Then, for λ ∈R and homogeneous polynomials Q f ,2, Q f ,1, there holds the sharp estimate μG
Lemma 1
Lemma 1 A mapping F of the form (3.3) is a close-to-starlike mapping relative to starlike mapping G of the form (3.4), iff f ∈RBn with g…
Lemma 1 A mapping F of the form (3.3) is a close-to-starlike mapping relative to starlike mapping G of the form (3.4) , iff f ∈RBn with g ∈MBn.
Theorem 3.1
Theorem 3.1 For maps F ∈ CS∗(Bn), all points z ∈Bn 0 and parameters λ ∈ j, j = 1,..., 4, there hold the following estimates Tz …
Theorem 3.1 For maps F ∈ CS∗(Bn), all points z ∈Bn\ {0} and parameters λ ∈ j, j = 1, ..., 4, there hold the following estimates Tz D3F(0)(z3 3! ∥z∥3 −λ Tz D2F(0)(z2 2! ∥z∥2 2
Function classes studied:
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