Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Gamma function
Beta function
Euler reflection formula
Integral calculus
Formulas
Γ(n)Γ(1−n) = π / sin(nπ)
∫₀^∞ x^(n−1) / (1+x) dx = π / sin(nπ)
B(n, 1-n) = Γ(n)Γ(1-n)
Theorems
Euler reflection formula
Beta-Gamma function relation
Suitable Grade Level
Advanced Undergraduate or Graduate Level (Math/Physics)
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