The derivative of a complex-valued function f(x) = u(x) + iv(x), depending on a real variable x,

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The derivative of a complex-valued function f(x) = u(x) + iv(x), depending on a real variable x, is given by f'(x) = u(x) + iv(x).
(a) Prove that if X = p. + i v is any complex scalar, then
The derivative of a complex-valued function f(x) = u(x) +

(b) Prove, conversely.

The derivative of a complex-valued function f(x) = u(x) +

provided λ ‰  0

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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