Difference between revisions of "Sister Celine's polynomials"
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| + | Sister Celine's polynomials are given by | ||
| + | $$f_n(a_1,a_2,\ldots,a_p;b_1,b_2,\ldots,b_q;x)={}_{p+2}F_{q+2} \left[ \begin{array}{ll} | ||
| + | -n,n+1,a_1,\ldots,a_p; & \\ | ||
| + | & x \\ | ||
| + | \dfrac{1}{2},1,b_1,\ldots,b_q; | ||
| + | \end{array} \right].$$ | ||
| + | |||
=References= | =References= | ||
[http://www.ams.org/journals/bull/1947-53-08/S0002-9904-1947-08893-5/S0002-9904-1947-08893-5.pdf] | [http://www.ams.org/journals/bull/1947-53-08/S0002-9904-1947-08893-5/S0002-9904-1947-08893-5.pdf] | ||
Revision as of 04:35, 27 June 2015
Sister Celine's polynomials are given by $$f_n(a_1,a_2,\ldots,a_p;b_1,b_2,\ldots,b_q;x)={}_{p+2}F_{q+2} \left[ \begin{array}{ll} -n,n+1,a_1,\ldots,a_p; & \\ & x \\ \dfrac{1}{2},1,b_1,\ldots,b_q; \end{array} \right].$$
