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 2.17, Problem 30MP

Write the series for e x ( 1 + i ) .

Write 1 + i in the r e i θ form and so obtain (easily) the powers of (1 + i). Thus show, for example, that the e x cos x series has no x² term, no x⁶ term, etc., and a similar result for the e x sin x series. Find (easily) a formula for the general term for each series.

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Chapter 2.17, Problem 29MP

Chapter 2.17, Problem 31MP

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Mathematical Methods in the Physical Sciences

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