11.2.3 (a) Derive Eq. (11.35) (1-x²) P(x) = (n+1)xPn(x) −(n+1) Pn+1(x). (b) Write out the relation of Eq. (11.35) to preceding equations in sym- bolic form analogous to the symbolic forms for Eqs. (11.31)-(11.34).
11.2.3 (a) Derive Eq. (11.35) (1-x²) P(x) = (n+1)xPn(x) −(n+1) Pn+1(x). (b) Write out the relation of Eq. (11.35) to preceding equations in sym- bolic form analogous to the symbolic forms for Eqs. (11.31)-(11.34).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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Question
![11.2.3 (a) Derive Eq. (11.35)
(1 − x²)P(x) = (n+1)xPn(x) − (n + 1)Pn+1(x).
(b) Write out the relation of Eq. (11.35) to preceding equations in sym-
bolic form analogous to the symbolic forms for Eqs. (11.31)-(11.34).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1395780d-7f7e-4f57-9269-5f1a7f050e33%2Fa0d17373-7693-455a-a1d2-b2fcf6069790%2Ft0oxkzf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:11.2.3 (a) Derive Eq. (11.35)
(1 − x²)P(x) = (n+1)xPn(x) − (n + 1)Pn+1(x).
(b) Write out the relation of Eq. (11.35) to preceding equations in sym-
bolic form analogous to the symbolic forms for Eqs. (11.31)-(11.34).
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