Results & Lemmas (9)
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Theorem 1
Theorem 1: Let f∈∑p (k, γ, δ, µ, λ), a∈R 0 and λ≥0. Then:
Theorem 1: Let f∈∑p (k, γ, δ, µ, λ), a∈R\{0} and λ≥0. Then:
Corollary 1
Corollary 1: Let the functions f(z) and g(z) be in ∑p and let g(z) satisfy the condition (10). If a∈R 0, λ ≥ 1 and:
Corollary 1: Let the functions f(z) and g(z) be in ∑p and let g(z) satisfy the condition (10). If a∈R\{0}, λ ≥ 1 and:
Corollary 2
Corollary 2: Let 0 λ∈ℂ with ℜ λ > 0 and a∈R 0. If f(z)∈∑p satisfies the following condition:
Corollary 2: Let { } \ 0 λ∈ℂ with ℜ{λ} > 0 and a∈R\{0}. If f(z)∈∑p satisfies the following condition:
Theorem 2
Theorem 2: Let λ∈ℂ 0 with and a∈R 0. If f(z)∈∑p satisfies the following condition:
Theorem 2: Let λ∈ℂ\{0}with and a∈R\{0}. If f(z)∈∑p satisfies the following condition:
Corollary 3
Corollary 3: Let λ∈ℜ, µ = 1 with λ≥1. If f(z)∈∑p satisfies:
Corollary 3: Let λ∈ℜ, µ = 1 with λ≥1. If f(z)∈∑p satisfies:
Theorem 3
Theorem 3: Suppose that the functions f(z) and g(z) are in ∑p and suppose g(z) satisfies the condition (10). If:
Theorem 3: Suppose that the functions f(z) and g(z) are in ∑p and suppose g(z) satisfies the condition (10). If:
Theorem 3
Theorem 3 we can obtain the following:
Theorem 3 we can obtain the following:
Corollary 2
Corollary 2, we obtain the following results
Corollary 2, we obtain the following results
Corollary 3
Corollary 3, that is:
Corollary 3, that is:
Function classes studied:
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