Mathematics · Special Functions
The orthogonality condition for Legendre polynomials Pn(x) and Pm(x) is given by:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∫-1+1 Pm(x) Pn(x) dx = (n + 1) δmn
- 2∫-1+1 Pm(x) Pn(x) dx = 1n + 1 δmn
- 3∫-1+1 Pm(x) Pn(x) dx = 2n + 12 δmn
- 4∫-1+1 Pm(x) Pn(x) dx = 22n + 1 δmn✓
Correct answer
∫-1+1 Pm(x) Pn(x) dx = 22n + 1 δmn
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