Definition:BesselPolyTheta

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The LaTeX DLMF and DRMF macro \BesselPolyTheta represents the Bessel polynomial ΞΈ n subscript πœƒ 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 ΞΈ n Bessel-polynomial-two-parameters-theta 𝑛 {\displaystyle{\displaystyle{\displaystyle\theta_{n}}}}
\BesselPolyTheta{n}@{x}{a}{b} produces ΞΈ n ⁑ ( x ; a , b ) Bessel-polynomial-two-parameters-theta 𝑛 π‘₯ π‘Ž 𝑏 {\displaystyle{\displaystyle{\displaystyle\theta_{n}\!\left(x;a,b\right)}}}

These are defined by ΞΈ n ⁑ ( x ; a , b ) := x n ⁒ y n ⁑ ( x - 1 ; a , b ) assign Bessel-polynomial-two-parameters-theta 𝑛 π‘₯ π‘Ž 𝑏 superscript π‘₯ 𝑛 Bessel-polynomial-two-parameters-y 𝑛 superscript π‘₯ 1 π‘Ž 𝑏 {\displaystyle{\displaystyle{\displaystyle\theta_{n}\!\left(x;a,b\right):=x^{n% }y_{n}\!\left(x^{-1};a,b\right)}}}

Symbols List

ΞΈ n subscript πœƒ 𝑛 {\displaystyle{\displaystyle{\displaystyle\theta_{n}}}}  : Bessel polynomial with two parameters ΞΈ n subscript πœƒ 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