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2. Consider the function f : R2² → R² defined by f(x, y) = (xe* cos y — ye" sin y, eª y cos y + xe* sin y). It is given that the corresponding complex function f : C → C is holomorphic on its domain. (b) Find f'(1 + in).

2. Consider the function f : R2² → R² defined by f(x, y) = (xe* cos y — ye" sin y, eª y cos y + xe* sin y). It is given that the corresponding complex function f : C → C is holomorphic on its domain. (b) Find f'(1 + in).

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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2. Consider the function f : R² → R² defined by f(x, y) = (xeª cos y — yeª sin y, eª y cos y + xeª sin y). It is given that the corresponding complex function ƒ : C → C is holomorphic on its domain. (b) Find f'(1 + in).
Transcribed Image Text:2. Consider the function f : R² → R² defined by f(x, y) = (xeª cos y — yeª sin y, eª y cos y + xeª sin y). It is given that the corresponding complex function ƒ : C → C is holomorphic on its domain. (b) Find f'(1 + in).
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