Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Let \"bar\" denote the complex conjugate operation. Prove RIGOROUSLY that f(z) a

ID: 2937139 • Letter: L

Question

Let "bar" denote the complex conjugate operation.

Prove RIGOROUSLY that f(z) and bar (f ( bar z)) are simultaneouslyanalytic.

I am a little confused as to the author's meaning of bar (f (barz)) being analytic. Does this mean we are supposed todifferentiate with respect to z or bar z? Because there is abig difference.

Also, do not assume anything other than multivariable calculus and1-variable differentiation wrt z. Do not assume you maydifferentiate wrt barz.

I know from previous studying that the bar (partial of f wrt z )equals (bartial of bar f wrt bar z). Is this the story thatAhlfors is trying to impress upon the reader with this problem?

Explanation / Answer

solved.

Related Questions

Let X ~ Normal (=3, 2 =16) and Z ~ Normal (0,1) use the Standard Normal Table in
Question #3340592
Let X1 and X2 denote the prices of Stock 1 and Stock 2. The price of Stock 1 is
Question #3176701
Let X1, X2 and X3 be three independent and identically distributed random variab
Question #3439207
Let X1, X2, ... be a sequence of independent and identically distributed random
Question #3160505
Let X1, X2, ..., Xn be a random sample from a population with mean mu and varian
Question #3378170
Let X1, X2, ..., Xn be a sample of n iid observations population 1 and Y1, X2, .
Question #3376767
Let X1, X2, X3 be iid random variables with density f(x). Let Y1 denote the smal
Question #3390040
Let X1, X2, X3 be iid random variables with density f(x). Let Y1 denote the smal
Question #3390047

Navigate

Previous
Let \"Z\" be a random variable from the standard normal distribution. Find the v
Next
Let \"e\" be the exchange rate in pesos per dollar. Let E(e) be the expected fut

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.