
Calculus Calculus Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 8th, 2012, 02:10 AM  #1 
Newbie Joined: May 2011 Posts: 22 Thanks: 0  Does this integration have a closeform result?
Hi guys, I have encountered a problem, the integral of following expression from 0 to : where $A>0,C>0, D>0$ are all positive constants, and $B>1$. Not sure there is closeform result for this integration. Maybe using Gamma function is also OK. Thanks for any solutions or hints!! 
November 8th, 2012, 05:30 AM  #2  
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Does this integration have a closeform result? Quote:
 
November 8th, 2012, 03:49 PM  #3 
Newbie Joined: May 2011 Posts: 22 Thanks: 0  Re: Does this integration have a closeform result?
Hi, What is CA? Thanks. Jackson 
November 8th, 2012, 10:00 PM  #4 
Math Team Joined: Mar 2012 From: India, West Bengal Posts: 3,871 Thanks: 86 Math Focus: Number Theory  Re: Does this integration have a closeform result?
Complex Analysis. Use residue theorem.

November 8th, 2012, 11:20 PM  #5 
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: Does this integration have a closeform result?
I believe that this integral can be solved by hand using incomplete Gamma function.

November 9th, 2012, 01:58 AM  #6  
Newbie Joined: May 2011 Posts: 22 Thanks: 0  Re: Does this integration have a closeform result? Quote:
Hi zaidalyafey, Thanks for your reply. Could you show me how to use Gamma function to represent this? Or any detailed hint. I appreciate it sincerely. Jackson  
November 9th, 2012, 02:35 AM  #7 
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: Does this integration have a closeform result? 
November 11th, 2012, 07:12 PM  #8  
Newbie Joined: May 2011 Posts: 22 Thanks: 0  Re: Does this integration have a closeform result? Quote:
Hi @zaidalyafey Thanks a lot for this. I can see the former part of your last equation i.e., can be expressed by incomplete Gamma function. However, just wondering the latter part, i.e., can be represented similarly? Thanks a lot.  
November 12th, 2012, 01:30 AM  #9 
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: Does this integration have a closeform result? 
November 12th, 2012, 01:42 AM  #10 
Math Team Joined: Aug 2012 From: Sana'a , Yemen Posts: 1,177 Thanks: 44 Math Focus: Theory of analytic functions  Re: Does this integration have a closeform result? 

Tags 
closeform, integration, result 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Closeform solution for this Model  Spessotto  Applied Math  1  July 16th, 2013 05:06 AM 
Close form interpretation of a series  zaidalyafey  Calculus  1  September 25th, 2012 09:43 AM 
closedform of integration  vanderpollator  Calculus  6  July 15th, 2011 07:43 PM 
integration of a 2form over en sphere  rayman  Real Analysis  1  May 15th, 2011 11:11 AM 
Integration over open domain or close domain  good_phy  Calculus  1  October 12th, 2008 09:26 AM 