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For which values of a e R is the function ++(). f(a + iy) = (a²z - ary) + i + ay an entire function?

For which values of a e R is the function ++(). f(a + iy) = (a²z - ary) + i + ay an entire function?

Advanced Engineering Mathematics
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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to verify this limit. For which values of a e IR is the function {(a + iy) = (a*= – azy) + i(-+ ) an entire function? Prove that le-2| <1 if and only if Re(2) > 0.
Transcribed Image Text:to verify this limit. For which values of a e IR is the function {(a + iy) = (a*= – azy) + i(-+ ) an entire function? Prove that le-2| <1 if and only if Re(2) > 0.
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