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Apply the Gram-Schmidt procedure to form the first three Laguerre polynomials un(x) =x", n = 0, 1, 2,..., 0≤x<∞, w(x) = e. The conventional normalization is √ Lm (x) Ln(x)e- dx = 8mn.

Apply the Gram-Schmidt procedure to form the first three Laguerre polynomials un(x) =x", n = 0, 1, 2,..., 0≤x<∞, w(x) = e. The conventional normalization is √ Lm (x) Ln(x)e- dx = 8mn.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Apply the Gram-Schmidt procedure to form the first three Laguerre polynomials un(x) = x", n = 0, 1,2, ..., 0≤x<∞, w(x) = ex. The conventional normalization is x 5. Lm(x) Ln(x)e- dx = 8mn.
Transcribed Image Text:Apply the Gram-Schmidt procedure to form the first three Laguerre polynomials un(x) = x", n = 0, 1,2, ..., 0≤x<∞, w(x) = ex. The conventional normalization is x 5. Lm(x) Ln(x)e- dx = 8mn.
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