Maple Integral that MAPLE could not evaluate

  • Thread starter Thread starter tsunamiBTP
  • Start date Start date
  • Tags Tags
    Integral Maple
AI Thread Summary
The discussion revolves around the challenges of evaluating an integral involving an exponential function with a complex irrational trigonometric function as the exponent, using MAPLE software. The user attempted variable substitutions to simplify the integral but was unsuccessful. The integral pertains to a radiation wave solution from a disc-shaped source, suggesting it may resemble an elliptic integral. There is skepticism about the existence of a closed-form solution for this integral, with a suggestion that numerical evaluation may be the only viable approach for specific values of r and theta.
tsunamiBTP
Messages
2
Reaction score
0
I have attached a pdf of output from MAPLE attempting to evaluate an integral of an exponential function containing a complex irrational trig function as the exponent. MAPLE could not evaluate it when integrating with respect to the hangle phi. I then transformed the integral via varible substitutions to hopefully get it in a form that might be executable, but no luck there either.

Any suggestions?

This integral is a portion of a solution of a radiation wave emanating in the vicinity of source that is configured as a disc.
 

Attachments

Physics news on Phys.org
That looks to me like a variation on an elliptic integral.
 
There is no reason to think this integral has a closed form evaluation.
 
Is g_edgar suggesting that this integral can only be evaluated numerically for specific values for r & theta?
 

Similar threads

Maple BRS: Solving Killing/Geodesic Eqns with Maple's casesplit
Replies
2
Views
3K
A Orthogonality of variations in Faddev-Popov method for path integral
Replies
1
Views
1K
Attempting to Evaluate a Putnam Integral
Replies
14
Views
3K
Circular antenna array formula
Replies
15
Views
3K
MHB Is this approach to evaluating a complex integral valid?
Replies
1
Views
3K
Solving Difficult Integral: \int\frac{1}{1+x^7}dx
Replies
10
Views
2K
Stat mech: probability density - 2 interacting particles
Replies
4
Views
2K
Mathematica How to type mathematical equations using LaTeX
Replies
3
Views
2K
What is an effective variable substitution for solving this integral?
Replies
11
Views
5K
Requesting suggestions for languages, libraries, and architectures for parallel (and sometimes non parallel) numerical and scientific computations
Replies
8
Views
4K

Hot Threads

Recent Insights

Back
Top