Difference between revisions of "Sister Celine's polynomials"

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(Created page with "=References= [http://www.ams.org/journals/bull/1947-53-08/S0002-9904-1947-08893-5/S0002-9904-1947-08893-5.pdf]")
 
 
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Sister Celine's polynomials are given by
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$$f_n(a_1,a_2,\ldots,a_p;b_1,b_2,\ldots,b_q;x)={}_{p+2}F_{q+2} \left[ \begin{array}{ll}
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-n,n+1,a_1,\ldots,a_p; & \\
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& x \\
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\dfrac{1}{2},1,b_1,\ldots,b_q;
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\end{array} \right].$$
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=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]
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[[Category:SpecialFunction]]

Latest revision as of 18:43, 24 May 2016

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

[1]