Let f is used for the complex conjugate function u – iv. Verify the chain rule (fog)z = af/az and fz = əƒ/az. Recall ƒ = u + iv, the notation f = (fz ᵒ g)9z+ (fz° 9)āz
Let f is used for the complex conjugate function u – iv. Verify the chain rule (fog)z = af/az and fz = əƒ/az. Recall ƒ = u + iv, the notation f = (fz ᵒ g)9z+ (fz° 9)āz
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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Transcribed Image Text:Let ƒz = Əƒ/Əz and fz = əƒ/əz. Recall f = u + iv, the notation ƒ
is used for the complex conjugate function u
iv.
Verify the chain rule
(fog)z
(fog)z
=
=
(fz ○g)9z+(fz° g)āz
(fzᵒg) gz+ (fz° g) Iz
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