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mat334problem sets 5-6.pdf

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Department
Mathematics
Course
MAT334H1
Professor
All Professors
Semester
Winter

Description
MAT 334S Instructor: Man-Duen Choi Problem Set 5 for 2013 LEC0101 (1) The odd-number questions of QQ 1-5of Section 2.5 (Pages 150) (2) Q 22—ignoring 22 (d)-- of Page 152 (3)In each of the following cases, determine whether there exists a function f analytic on an open connected set including the origin , such that f(1), f(1/2), f(1/3), f(1/4), f(1/5), f(1/6), … take corresponding values of (a)1, 0, 1/3, 0 , 1/5, 0, … (b) 1/2, 2/3, 3/4, 4/5, 5/6, 6/7, … (c) 0/2, 1/6, 4/12, 9/20, 16/30, 25/42, … (4) By means of Taylor series or Laurent series, find the general form of the following functions f . (a) f is analytic on C and f(z) /8 = f(2z) . (b) f is analytic on C
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