Definition:littleqLaguerre: Difference between revisions

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Revision as of 00:33, 6 March 2017

The LaTeX DLMF and DRMF macro \littleqLaguerre represents the little q 𝑞 {\displaystyle{\displaystyle q}} -Laguerre / Wall polynomial.

This macro is in the category of polynomials.

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

\littleqLaguerre{n} produces p n little-q-Laguerre-Wall-polynomial-p 𝑛 {\displaystyle{\displaystyle{\displaystyle p_{n}}}}
\littleqLaguerre{n}@{x}{a}{q} produces p n ( x ; a ; q ) little-q-Laguerre-Wall-polynomial-p 𝑛 𝑥 𝑎 𝑞 {\displaystyle{\displaystyle{\displaystyle p_{n}\!\left(x;a;q\right)}}}

These are defined by p n ( x ; a ; q ) := \qHyperrphis 21 @ @ q - n , 0 a q q q x . assign little-q-Laguerre-Wall-polynomial-p 𝑛 𝑥 𝑎 𝑞 \qHyperrphis 21 @ @ superscript 𝑞 𝑛 0 𝑎 𝑞 𝑞 𝑞 𝑥 {\displaystyle{\displaystyle{\displaystyle p_{n}\!\left(x;a;q\right):=% \qHyperrphis{2}{1}@@{q^{-n},0}{aq}{q}{qx}.}}}

Symbols List

p n subscript 𝑝 𝑛 {\displaystyle{\displaystyle{\displaystyle p_{n}}}}  : little q 𝑞 {\displaystyle{\displaystyle{\displaystyle q}}} -Laguerre / Wall polynomial : http://drmf.wmflabs.org/wiki/Definition:littleqLaguerre
ϕ s r subscript subscript italic-ϕ 𝑠 𝑟 {\displaystyle{\displaystyle{\displaystyle{{}_{r}\phi_{s}}}}}  : basic hypergeometric (or q 𝑞 {\displaystyle{\displaystyle{\displaystyle q}}} -hypergeometric) function : http://dlmf.nist.gov/17.4#E1