Big q-Jacobi polynomials
In mathematics, the big q-Jacobi polynomials Pn(x;a,b,c;q) are a family of basic hypergeometric orthogonal polynomials in the basic Askey scheme. == Definition == The polynomials are given in terms of basic hypergeometric functions by P n ( x ; a , b , c ; q ) = 3 ϕ 2 ( q − n , a b q n + 1 , x ; a q , c q ; q , q ) {\displaystyle \displaystyle P_{n}(x;a,b,c;q)={}_{3}\phi _{2}(q^{-n},abq^{n+1},x;aq,cq;q,q)} == References == == Further reading == Gasper, George; Rahman, Mizan (2004), Basic hypergeometric series, Encyclopedia of Mathematics and its Applications, vol.