How can I find the distribution and density in closed form of the severity model of losses for the sum of n-losses when α = 0.5 and β = 1 (Levy)? Could someone explain to me how to calculate closed forms in general because I do not understand the concept? X_i(t) ∼ S_α(β, γ, δ; 0)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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How can I find the distribution and density in closed form of the severity model of losses for the sum of n-losses when α = 0.5 and β = 1 (Levy)? Could someone explain to me how to calculate closed forms in general because I do not understand the concept?

X_i(t) ∼ S_α(β, γ, δ; 0)

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