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1 m # n için | Pm(x) Pn(x)dx = 0 %3D -1 b-) show that note: Legendre equation (1 – a²)Pm (x) – 2æPm (x) + m(m + 1)Pm(æ) = 0 т

1 m # n için | Pm(x) Pn(x)dx = 0 %3D -1 b-) show that note: Legendre equation (1 – a²)Pm (x) – 2æPm (x) + m(m + 1)Pm(æ) = 0 т

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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a-) Find the $(x, z) = (1 – 2æz + 2²)-1/2 E P. (#)z" n=0 iteration relation using the (2n + 1)xP, (x) = (n+ 1)Pn+1(x) + nPn-1(x) generator function of Legendre polynomials. 1 m ± n için | Pm (x) P, (x)dæ = 0 -1 b-) show that note: Legendre equation (1 – æ²)Pm (x) – 2æPm (x) + m(m + 1)Pm(x) = 0 %3D
Transcribed Image Text:a-) Find the $(x, z) = (1 – 2æz + 2²)-1/2 E P. (#)z" n=0 iteration relation using the (2n + 1)xP, (x) = (n+ 1)Pn+1(x) + nPn-1(x) generator function of Legendre polynomials. 1 m ± n için | Pm (x) P, (x)dæ = 0 -1 b-) show that note: Legendre equation (1 – æ²)Pm (x) – 2æPm (x) + m(m + 1)Pm(x) = 0 %3D
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