Complex Analysis

Complex Analysis

Assessment

Flashcard

Mathematics

University

Practice Problem

Hard

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Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

The function is differentiable only at z=0.

2.

FLASHCARD QUESTION

Front

Back

The function is constant.

3.

FLASHCARD QUESTION

Front

What is the statement regarding a non-constant entire function in terms of complex values?

Back

A non-constant entire function assumes each complex value, with one possible exception.

4.

FLASHCARD QUESTION

Front

What is the sum of the orders of the zeros of a polynomial of degree n?

Back

The sum is equal to n.

5.

FLASHCARD QUESTION

Front

Back

20 is not a possible value.

6.

FLASHCARD QUESTION

Front

Define an entire function.

Back

An entire function is a complex function that is holomorphic (differentiable) at all points in the complex plane.

7.

FLASHCARD QUESTION

Front

What is the Cauchy-Riemann equation?

Back

The Cauchy-Riemann equations are a set of two equations that must be satisfied for a function to be holomorphic.

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