Calculate the krawtchouk moments invariants

Hello I have to calculate this equation

I have calculate all the terms but I don't understand how to calculate

they told me that he can be determined by

please help me to calculate this :(

[jenny jenny]

Where :

[Walter Roberson]

What is the difference between this question and your earlier questions http://www.mathworks.com/matlabcentral/answers/267111-how-to-calculate-krawchouk-polynomials and http://www.mathworks.com/matlabcentral/answers/273239-calcul-of-krawtchouk-moment-invariants-of-a-binary-image-in-matlab ? Do you still need three different questions or did you solve the other two or are they somehow not related to this question?

[jenny jenny]

I solved the other quetions now I need to calculate this equation

Answer 1

[Walter Roberson]

2F1(a,b;c;z) is hypergeom([a b], [c], z)

However, I cannot tell what connection that has to your notation. We have no idea what rho is for this purpose, or what "a subscript i comma n comma (p subscript 1)" is intended to mean, or "nu-tilde subscript ij followed by raised-dot" means.

[jenny jenny]

thank you so mutch for tour answer Well I try to calculate a with the parameter n,p,k with the equation

[jenny jenny]

all the parameters of this equation

I can calculate them but I don't have any idea how to calculate the a All i have this indication

[jenny jenny]

I don't understand how I aply this fonction to calculate the other

[Walter Roberson]

hypergeom([-n, -x], [-N], 1/p)

[jenny jenny]

thank you a lot for your answers I appriciate this

I need calculate this term

[jenny jenny]

my question if there is a method to calculate this term using function hypergeom

[Walter Roberson]

I do not know. I do not understand the notation. Your Kn does not express a definition, it expresses an identity relating to "a" values that we have no definition for, and then your other term requires use of those "a" values. We also do not have any information about nu-tilde subscript ij followed by raised-dot.