how to solve triple summation problems involving coefficients

Dear Yashpal,

Seven different triple sum formulas for 9j coefficients of the quantum algebra u_q(2) are derived, using for these purposes the usual expansion of q-9j coefficients in terms of q-6jcoefficients and recently derived summation formula of twisted q-factorial series (resembling the very well-poised basic hypergeometric ₅?₄ series) as a q-generalization of Dougall’s summation formula of the very well-poised hypergeometric ₄F₃(−1) series. This way for q = 1 Rosengren’s second proof of the SU(1,1) case is adapted for the SU(2) case to derive the known triple sum formula of Ališauskas and Jucys, as well as six new independent triple sum formulas for the Wigner 9j coefficients of the angular momentum theory. The mutual rearrangement possibilities of the derived triple sum formulas by means of the Chu–Vandermonde summation formulas are considered and applied to derive several versions of double sum formulas for the stretched q-9j coefficients, which give new rearrangement and summation formulas of special Kampé de Fériet functions and their q-generalizations

Best Of Luck...!!!!

Cracking IIT just got more exciting,It’s not just all about getting assistance from IITians, alongside Target Achievement and Rewards play an important role. ASKIITIANS has it all for you, wherein you get assistance only from IITians for your preparation and winexciting gifts by answering queries in the discussion forums. Reward points 5 + 15 for all those who upload their pic and download the ASKIITIANS Toolbar, just a simple click here to download the toolbar….

So start the brain storming…. become a leader with Elite Expert League ASKIITIANS

Thanks

Aman Bansal

Askiitian Expert