5. Is there any function f, analytic in [2] < 1, such that (²) and (+1) - R (2k-1)= k=1,2,3,...? 2k 2k

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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This problem is related to. ZEROS AND UNIQUENESS .and Ans is No. It is impossible by the uniqueness principle. Explain this one in detail
5. Is there any function f, analytic in z < 1, such that
1
f(²)= and f(2k²+1)=2/2²
₂
2k
k = 1,2,3,...?
Transcribed Image Text:5. Is there any function f, analytic in z < 1, such that 1 f(²)= and f(2k²+1)=2/2² ₂ 2k k = 1,2,3,...?
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