Definition:BesselPolyTheta: Difference between revisions

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Latest revision as of 08:48, 22 December 2019

The LaTeX DLMF and DRMF macro \BesselPolyTheta represents the Bessel polynomial θ n subscript 𝜃 𝑛 {\displaystyle{\displaystyle\theta_{n}}} with two-parameters.

This macro is in the category of polynomials.

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

\BesselPolyTheta{n} produces θ n Bessel-polynomial-two-parameters-theta 𝑛 {\displaystyle{\displaystyle{\displaystyle\theta_{n}}}}
\BesselPolyTheta{n}@{x}{a}{b} produces θ n ( x ; a , b ) Bessel-polynomial-two-parameters-theta 𝑛 𝑥 𝑎 𝑏 {\displaystyle{\displaystyle{\displaystyle\theta_{n}\!\left(x;a,b\right)}}}

These are defined by θ n ( x ; a , b ) := x n y n ( x - 1 ; a , b ) assign Bessel-polynomial-two-parameters-theta 𝑛 𝑥 𝑎 𝑏 superscript 𝑥 𝑛 Bessel-polynomial-two-parameters-y 𝑛 superscript 𝑥 1 𝑎 𝑏 {\displaystyle{\displaystyle{\displaystyle\theta_{n}\!\left(x;a,b\right):=x^{n% }y_{n}\!\left(x^{-1};a,b\right)}}}

Symbols List

θ n subscript 𝜃 𝑛 {\displaystyle{\displaystyle{\displaystyle\theta_{n}}}}  : Bessel polynomial with two parameters θ n subscript 𝜃 𝑛 {\displaystyle{\displaystyle{\displaystyle\theta_{n}}}}  : http://drmf.wmflabs.org/wiki/Definition:BesselPolyTheta
y n subscript 𝑦 𝑛 {\displaystyle{\displaystyle{\displaystyle y_{n}}}}  : Bessel polynomial with two parameters y n subscript 𝑦 𝑛 {\displaystyle{\displaystyle{\displaystyle y_{n}}}}  : http://drmf.wmflabs.org/wiki/Definition:BesselPolyIIparam