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Ma-Minda φ-classes studied in this paper:
Results & Lemmas (5)
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Lemma 2.1
Lemma 2.1 ([37]) Assume p ∈P be the form of (2). Then 2μ2 = μ2 1 + κ 4 – μ2 1 , (18) 4μ3 = μ3 1 + 2 4 – μ2 1
Lemma 2.1 ([37]) Assume p ∈P be the form of (2). Then 2μ2 = μ2 1 + κ 4 – μ2 1 , (18) 4μ3 = μ3 1 + 2 4 – μ2 1
Lemma 2.2
Lemma 2.2 (See [38]) For given real numbers A, B, C, let Y(A,B,C) = max z∈D
Lemma 2.2 (See [38]) For given real numbers A, B, C, let Y(A,B,C) = max z∈D
Lemma 2.3
Lemma 2.3 Define ρ: [0,4] →R by ρ(t):= h1(t) h2(t), where h1(t) = 23t2 – 96t + 576, h2(t) = 18 – t 12 + t. Then ρ is convex on [0,4].
Lemma 2.3 Define ρ : [0,4] →R by ρ(t) := h1(t) h2(t), where h1(t) = 23t2 – 96t + 576, h2(t) = 18 – t 12 + t . Then ρ is convex on [0,4].
Theorem 3.1
Theorem 3.1 Let f ∈S∗ e. Then
Theorem 3.1 Let f ∈S∗ e . Then
Theorem 3.2
Theorem 3.2 Let f ∈S∗ e. Then
Theorem 3.2 Let f ∈S∗ e . Then
Function classes studied:
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