8. Let f(2) be defined for |2| < 1 by the series f(2) = E . Show that zf'(2) = - Log(1 – 2). Show that every analytic continuation of f satisfies e-j"(e) = 1 – z. Show that f can be analytically continued along every path that starts at 0, avoids 1, and never returns to 0.
8. Let f(2) be defined for |2| < 1 by the series f(2) = E . Show that zf'(2) = - Log(1 – 2). Show that every analytic continuation of f satisfies e-j"(e) = 1 – z. Show that f can be analytically continued along every path that starts at 0, avoids 1, and never returns to 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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