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Results & Lemmas (5)
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Lemma 1.2
Lemma 1.2([3]). If p1(z) = 1 + c1z + c2z2 + · · · is an analytic functions with positive real part in U, then c2 −vc2 1 ≤ −4v + 2 if…
Lemma 1.2([3]). If p1(z) = 1 + c1z + c2z2 + · · · is an analytic functions with positive real part in U, then c2 −vc2 1 ≤ −4v + 2 if v ≤0, 2 if 0 ≤v ≤1, 4v −2 if v ≥1.
Theorem 2.1.
Theorem 2.1. Let α ≥0, φ(z) = 1 + B1z + B2z2 + · · ·. If f(z) given by (1.1) belongs to the class M m,α λ,µ (φ), then (2.5) a3 −ηa2 2
Theorem 2.1. Let α ≥0, φ(z) = 1 + B1z + B2z2 + · · · . If f(z) given by (1.1) belongs to the class M m,α λ,µ (φ), then (2.5) a3 −ηa2 2
Theorem 2.1
Repeated OCR label — verify against source
Theorem 2.1 is now completed. 2
Theorem 2.1 is now completed. 2
Theorem 3.2.
Theorem 3.2. Let g(z) = z + P∞ n=2 gnzn (gn > 0), and let the function φ(z) be given by φ(z) = 1 + P∞ n=1 Bnzn. If Dm λ,µf(z) defined by…
Theorem 3.2. Let g(z) = z + P∞ n=2 gnzn (gn > 0), and let the function φ(z) be given by φ(z) = 1 + P∞ n=1 Bnzn. If Dm λ,µf(z) defined by (1.4) belongs to the class M m,α,g λ,µ (φ), then |a3 −ηa2| ≤
Theorem 3.3.
Theorem 3.3. Let g(z) = z + P∞ n=2 gnzn, (gn > 0) and let the function φ(z) be given by φ(z) = 1 + P∞ n=1 Bnzn and α ≥0. If Dm λ,µf(z)…
Theorem 3.3. Let g(z) = z + P∞ n=2 gnzn, (gn > 0) and let the function φ(z) be given by φ(z) = 1 + P∞ n=1 Bnzn and α ≥0. If Dm λ,µf(z) defined by (1.4) belongs to the class M m,α,g λ,µ (φ), then |a3 −ηa2| ≤
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