That would work, but as I set up the model, the issue is a bit more complex. I have to increase the index or power on the second series for each term in the first series. In other words, the first term in the first series has a power for the second series. The next term in the first series requires the second series power to be indexed by two...and so forth. I can do it manually, and Craigs suggestions and yours are what I needed to move forward...slowly but surely.

It appears that if I try to bundle too many operations into one statement, Mathematic runs forever and I don't know if it will eventually be able to do what I am asking. However, I notice two issues. First, I do a double angular integral and sometimes I get a numberical answer and someties I get powers of Pi. I would like to always get powers of Pi and not the decimal value multiplied time the rest of the numerical values that are calculated. Turns out the integrals are not useful using DIntegrate but stay finite and regular with Integrate.

Second issue is that when I try to same a large amount of material to a notebook page, after a dozen lines the material is squashed over into a single column on the right side of the notebook page. How do I save fifty or more  In calculations withoiut this distortion. It is not useable when it is squashed together and run on.

Thanks for any suggestions.

Luther

Hello Luther,
I am not sure what you are after here.  Does this not do what you wish it to?
I imagine that you might wish to have this instead:
But, this may be even better for your purposes:
I hope this is helpful to you.
Craig