Q.1 If fi(z) and f2(z) are both analytic functions, show that fa(z)-fi(2).f2(z) is also analytic function using Cauchy-Riemann equations, and, hence, show that if f(z) is analytic then f"(z) is also analytic, where n is positive integer.
Q.1 If fi(z) and f2(z) are both analytic functions, show that fa(z)-fi(2).f2(z) is also analytic function using Cauchy-Riemann equations, and, hence, show that if f(z) is analytic then f"(z) is also analytic, where n is positive integer.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:Q.1 If fi(z) and f2(z) are both analytic functions, show that f3(2)-fi(z).f2(z) is also analytic
function using Cauchy-Riemann equations, and, hence, show that if f(z) is analytic then
f"(z) is also analytic, where n is positive integer.
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