Definition:poly

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The LaTeX DLMF and DRMF macro \poly represents the semantic polynomial.

This macro is in the category of polynomials.

In math mode, this macro can be called in the following ways:

\poly{p}{n} produces p n general-polynomial 𝑝 𝑛 {\displaystyle{\displaystyle{\displaystyle{p}_{n}}}}
\poly{p}{n}@{x} produces p n ⁑ ( x ) general-polynomial 𝑝 𝑛 π‘₯ {\displaystyle{\displaystyle{\displaystyle{p}_{n}\!\left(x\right)}}}

These are defined by P n ⁑ ( x ; Ξ½ , N ) := ( - 2 ⁒ i ) n ⁒ ( - N + i ⁒ Ξ½ ) n ( n - 2 ⁒ N - 1 ) n ⁒ \HyperpFq ⁒ 21 ⁒ @ ⁒ @ - n , n - 2 ⁒ N - 1 - N + i ⁒ Ξ½ ⁒ 1 - i ⁒ x 2 assign pseudo-Jacobi-polynomial 𝑛 π‘₯ 𝜈 𝑁 superscript 2 𝑖 𝑛 Pochhammer-symbol 𝑁 𝑖 𝜈 𝑛 Pochhammer-symbol 𝑛 2 𝑁 1 𝑛 \HyperpFq 21 @ @ 𝑛 𝑛 2 𝑁 1 𝑁 𝑖 𝜈 1 𝑖 π‘₯ 2 {\displaystyle{\displaystyle{\displaystyle P_{n}\!\left(x;\nu,N\right):=\frac{% (-2i)^{n}{\left(-N+i\nu\right)_{n}}}{{\left(n-2N-1\right)_{n}}}\,\HyperpFq{2}{% 1}@@{-n,n-2N-1}{-N+i\nu}{\frac{1-ix}{2}}}}\)\@add@PDF@RDFa@triples\end{document}}


Symbols List

p n subscript 𝑝 𝑛 {\displaystyle{\displaystyle{\displaystyle{p}_{n}}}}  : polynomial : http://drmf.wmflabs.org/wiki/Definition:poly
P n subscript 𝑃 𝑛 {\displaystyle{\displaystyle{\displaystyle P_{n}}}}  : pseudo Jacobi polynomial : http://drmf.wmflabs.org/wiki/Definition:pseudoJacobi
( a ) n subscript π‘Ž 𝑛 {\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}  : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii
F q p subscript subscript 𝐹 π‘ž 𝑝 {\displaystyle{\displaystyle{\displaystyle{{}_{p}F_{q}}}}}  : generalized hypergeometric function : http://dlmf.nist.gov/16.2#E1


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