Q.1 If fi(z) and fa(z) are both analytic functions, show that fa(z)-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.
Q.1 If fi(z) and fa(z) are both analytic functions, show that fa(z)-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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 78E
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![Q.1 If fi(z) and fa(z) are both analytic functions, show that fa(z)-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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12022ac5-1521-4ae4-9c1e-bc3fe7b48df8%2F34c0a670-35c2-4736-abbf-677561e26e04%2Fq4a1wgu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q.1 If fi(z) and fa(z) are both analytic functions, show that fa(z)-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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