Definition:monicBesselPoly

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The LaTeX DLMF and DRMF macro \monicBesselPoly represents the monic Bessel polynomial.

This macro is in the category of polynomials.

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

\monicBesselPoly{n} produces y ^ n Bessel-polynomial-monic-p 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{y}}_{n}}}}
\monicBesselPoly{n}@{x}{a} produces y ^ n ⁑ ( x ; a ) Bessel-polynomial-monic-p 𝑛 π‘₯ π‘Ž {\displaystyle{\displaystyle{\displaystyle{\widehat{y}}_{n}\!\left(x;a\right)}}}
\monicBesselPoly{n}@@{x}{a} produces y ^ n ⁑ ( x ) Bessel-polynomial-monic-p 𝑛 π‘₯ π‘Ž {\displaystyle{\displaystyle{\displaystyle{\widehat{y}}_{n}\!\left(x\right)}}}

These are defined by y n ⁑ ( x ; a ) = : ( n + a + 1 ) n 2 n y ^ n ⁑ ( x ; a ) fragments Bessel-polynomial-y 𝑛 π‘₯ π‘Ž : Pochhammer-symbol 𝑛 π‘Ž 1 𝑛 superscript 2 𝑛 Bessel-polynomial-monic-p 𝑛 π‘₯ π‘Ž {\displaystyle{\displaystyle{\displaystyle y_{n}\!\left(x;a\right)=:\frac{{% \left(n+a+1\right)_{n}}}{2^{n}}{\widehat{y}}_{n}\!\left(x;a\right)}}}

Symbols List

y ^ n subscript ^ 𝑦 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{y}}_{n}}}}  : monic Bessel polynomial : http://drmf.wmflabs.org/wiki/Definition:monicBesselPoly
y n subscript 𝑦 𝑛 {\displaystyle{\displaystyle{\displaystyle y_{n}}}}  : Bessel polynomial : http://dlmf.nist.gov/18.34#E1
( a ) n subscript π‘Ž 𝑛 {\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}  : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii