Mathematical Methods in the Physical Sciences

3rd Edition

ISBN: 9780471198260

Author: Mary L. Boas

Publisher: Wiley, John & Sons, Incorporated

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Textbook Question

Chapter 12.23, Problem 5MP

Show that ∑ 0 n ( 2 l + 1 ) P l ( x ) = P n ′ ( x ) + P n + 1 ′ ( x ) . Hint: Use mathematical induction as follows:

(a) Verify the formula for n = 0

(b) Assuming that the formula is true for l = n − 1 , show [using (5.8e)] that it is true for l = n .

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Chapter 12.23, Problem 4MP

Chapter 12.23, Problem 6MP

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Mathematical Methods in the Physical Sciences

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