MathDB
Again, Lambda set

Source: SNSB Admission 2003

October 8, 2019
complex analysis

Problem Statement

Consider Λ={λ∈Hol[C⟶C]∣z∈C  ⟹  ∣λ(z)∣≤e∣Im(z)∣}. \Lambda = \left\{ \lambda\in\text{Hol} \left[ \mathbb{C}\longrightarrow\mathbb{C} \right] |z\in\mathbb{C}\implies |\lambda (z)|\le e^{|\text{Im}(z)|} \right\} .
Prove that g∈Λ g\in\Lambda implies g′∈Λ. g'\in\Lambda .
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