Source for calculating Incomplete Elliptical Integrals

In summary, Incomplete Elliptical Integrals are mathematical functions used to calculate the area under the curve of an elliptical function. They have various applications in fields such as physics, engineering, and astronomy. The calculation of these integrals can be complex and involves the use of numerical methods and special functions. The main source for calculating them is the book "Handbook of Elliptic Integrals for Engineers and Scientists" and there are also online resources available for this purpose such as Wolfram Alpha, MathWorks, and NIST Digital Library of Mathematical Functions.
  • #1
bugatti79
794
1
Folks,

Is there a online source I can use for evaluating Incomplete elliptical integrals ##F(\phi,k)## and ##E(\phi,k)##
I do not have Mathlab or Mathematica and Wolfram alpha requires payed registration for extended computation time.
Any information will be appreciated.
Regards
 
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  • #2
"incomplete elliptic integral calculation"

Try Google the above. There seem to be many sources.
 

1. What are Incomplete Elliptical Integrals?

Incomplete Elliptical Integrals are mathematical functions that are used to calculate the area under the curve of an elliptical function. They are similar to regular integrals, but are used specifically for elliptical functions.

2. What are some applications of Incomplete Elliptical Integrals?

Incomplete Elliptical Integrals have a wide range of applications in various fields of science, including physics, engineering, and astronomy. They are used to solve problems related to electric potential, gravitational potential, and even the motion of celestial bodies.

3. How are Incomplete Elliptical Integrals calculated?

The calculation of Incomplete Elliptical Integrals can be quite complex and involves a series of steps, depending on the specific function being used. It usually involves the use of numerical methods and special functions, such as the Carlson symmetric elliptic integrals.

4. What is the source for calculating Incomplete Elliptical Integrals?

The main source for calculating Incomplete Elliptical Integrals is the book "Handbook of Elliptic Integrals for Engineers and Scientists" by Paul F. Byrd and Morris D. Friedman. This book provides a comprehensive guide to the different methods and techniques used for calculating these integrals.

5. Are there any online resources for calculating Incomplete Elliptical Integrals?

Yes, there are various online resources available for calculating Incomplete Elliptical Integrals. Some popular ones include Wolfram Alpha, MathWorks, and NIST Digital Library of Mathematical Functions. These resources provide easy-to-use tools for calculating different types of Incomplete Elliptical Integrals.

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