Mathematical Methods of PhysicsElements 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
Appeared in Year: 2013
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
Appeared in Year: 2012
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
Appeared in Year: 2014
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
Appeared in Year: 2014
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
Appeared in Year: 2017
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. 
