Sister Celine's polynomials
From specialfunctionswiki
Sister Celine's polynomials are given by $$f_n(a_1,a_2,\ldots,a_p;b_1,b_2,\ldots,b_q;x)={}_{p+2}F_{q+2} \left[ \begin{array}{ll} -n,n+1,a_1,\ldots,a_p; & \\ & x \\ \dfrac{1}{2},1,b_1,\ldots,b_q; \end{array} \right].$$
