solution of a elliptical integral

i am trying to find the value of k in given code as i increases m i don't get one value of k because ok m increases power of k increases so solution has many value depending upon power of k which value should i take?

this is a code of elliptical integral in power series expansion source https://en.wikipedia.org/wiki/Elliptic_integral

i know one thing that 0<k<1

can any one tell me which value of k should i take and is my code right?

Answer 1

[Walter Roberson]

Instead of taking abs(ans) use

zzz = double(ans);
abs(zzz(imag(zzz)==0))

You will get two copies of the same number, 0.427794945616717

[NILESH PANDEY]

Thanks for help Can you explain how this is working i think using double(ans) convert symbolic into precision value and using imag(zzz)==0 imaginary part becomes 0. so all the answers of k follow these commands do the same as above and finally gives the values of k after adding all of values?

[Karan Gill]

No, to understand imag(zzz)==0 you need to understand "logical indexing": http://blogs.mathworks.com/steve/2008/01/28/logical-indexing/