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B) ANALYTIC AND HARMONIC FUNCTIONS (SESSION 2) 1. Show that if f and 7 are both analytic on a domain D, then f is constant. 2. Show that if f is analytic on a domain D and f, Ref, Im f or arg f is constant in D, then f is also constant in D.

B) ANALYTIC AND HARMONIC FUNCTIONS (SESSION 2) 1. Show that if f and 7 are both analytic on a domain D, then f is constant. 2. Show that if f is analytic on a domain D and f, Ref, Im f or arg f is constant in D, then f is also constant in D.

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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B) ANALYTIC AND HARMONIC FUNCTIONS (SESSION 2) 1. Show that if f and I are both analytic on a domain D, then f is constant. 2. Show that if f is analytic on a domain D and f, Ref, Im f or arg f is constant in D, then f is also constant in D.
Transcribed Image Text:B) ANALYTIC AND HARMONIC FUNCTIONS (SESSION 2) 1. Show that if f and I are both analytic on a domain D, then f is constant. 2. Show that if f is analytic on a domain D and f, Ref, Im f or arg f is constant in D, then f is also constant in D.
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