Mathematical Methods of Physics-Elements of Complex Analysis (CSIR (Council of Scientific & Industrial Research) Physical Sciences): Questions 1 - 5 of 5

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Question number: 1

» Mathematical Methods of Physics » Elements of Complex Analysis

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Appeared in Year: 2013

MCQ▾

Question

Which of the following functions cannot be the real part of a complex analytic function of ? (December)

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 2

» Mathematical Methods of Physics » Elements of Complex Analysis

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Appeared in Year: 2012

MCQ▾

Question

Let be the real part of an analytic function of the complex variable , the imaginary part of is – (June)

Choices

Choice (4)Response

a.

b.

y

c.

d.

Question number: 3

» Mathematical Methods of Physics » Elements of Complex Analysis

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Appeared in Year: 2014

MCQ▾

Question

Consider the function of a complex variable . The singularities of are as follows: (December)

Choices

Choice (4)Response

a.

branch points at and ; and a pole at for all other than

b.

branch points at and

c.

branch points at and ; and a pole at for all .

d.

branch points at and ; and a pole at only for .

Question number: 4

» Mathematical Methods of Physics » Elements of Complex Analysis

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Appeared in Year: 2014

MCQ▾

Question

The function satisfies the equation (June)

Choices

Choice (4)Response

a.

b.

c.

d.

Question number: 5

» Mathematical Methods of Physics » Elements of Complex Analysis

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Appeared in Year: 2017

MCQ▾

Question

Let be the real part of a function of the complex variable , where are real constants and . The function is complex analytic everywhere in the complex plane if and only if: (June)

Choices

Choice (4)Response

a.

b.

c.

d.

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