b- Using generating function, show that; dP(x) dP(-x) (-1)+1 dx %3D dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.2: Arithmetic Sequences
Problem 68E
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Plz solve only part (b) within 30-40 mins I'll give you multiple upvote
a- A function f(x) is expanded in Legendre series,
f(x) = En=0 a,Pn(x).
II
Show that;
2a
Ls(x)1? dx = n=0 2n+1
b- Using generating function, show that;
dP (x)
%3D
(-1)+1 dP(-x)
dx
dx
Transcribed Image Text:a- A function f(x) is expanded in Legendre series, f(x) = En=0 a,Pn(x). II Show that; 2a Ls(x)1? dx = n=0 2n+1 b- Using generating function, show that; dP (x) %3D (-1)+1 dP(-x) dx dx
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