(4) Let ƒ₂ = Əƒ/əz and fz = Oƒ/az. Recall f = u + iv, the notation f is used for the complex conjugate function u - - iv. (e) Show that if f = O(U), then A|ƒ|² = 4|ƒ'|².
(4) Let ƒ₂ = Əƒ/əz and fz = Oƒ/az. Recall f = u + iv, the notation f is used for the complex conjugate function u - - iv. (e) Show that if f = O(U), then A|ƒ|² = 4|ƒ'|².
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:(4) Let f₂ = 0ƒ/əz and ƒz = 0ƒ/az. Recall f = u + iv, the notation f
is used for the complex conjugate function u – iv.
(e) Show that if ƒ = O(U), then A|f² = 4|f¹|².
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