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Use the recurrence 1 )=(5x³ – 3x) - A P(x), as a series of Legendre polynomials. given formula to show that P5(x) = (63x5 - 70x³ + 15x) and P₂(x) = (3x²-1). Hence, express P"5(x) in the form P3 (x) of

Use the recurrence 1 )=(5x³ – 3x) - A P(x), as a series of Legendre polynomials. given formula to show that P5(x) = (63x5 - 70x³ + 15x) and P₂(x) = (3x²-1). Hence, express P"5(x) in the form P3 (x) of

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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Use the to show that P5(x) = (63x5 – 70x³ + 15x) if given recurrence formula P3(x) = (5x – 3x) and P2(x) =;(3x? – 1). Hence, express P"5(x) in the form of E, Ak Pr(x), as a series of Legendre polynomials.
Transcribed Image Text:Use the to show that P5(x) = (63x5 – 70x³ + 15x) if given recurrence formula P3(x) = (5x – 3x) and P2(x) =;(3x? – 1). Hence, express P"5(x) in the form of E, Ak Pr(x), as a series of Legendre polynomials.
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