Definition:monicMeixner

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The LaTeX DLMF and DRMF macro \monicMeixner represents the monic Meixner polynomial.

This macro is in the category of polynomials.

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

\monicMeixner{n} produces M ^ n Meixner-polynomial-monic-p 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{M}}_{n}}}}
\monicMeixner{n}@{x}{\beta}{c} produces M ^ n ⁑ ( x ; Ξ² , c ) Meixner-polynomial-monic-p 𝑛 π‘₯ 𝛽 𝑐 {\displaystyle{\displaystyle{\displaystyle{\widehat{M}}_{n}\!\left(x;\beta,c% \right)}}}
\monicMeixner{n}@@{x}{\beta}{c} produces M ^ n ⁑ ( x ; Ξ² , c ) Meixner-polynomial-monic-p 𝑛 π‘₯ 𝛽 𝑐 {\displaystyle{\displaystyle{\displaystyle{\widehat{M}}_{n}\!\left(x;\beta,c% \right)}}}

These are defined by M n ⁑ ( x ; Ξ² , c ) = : 1 ( Ξ² ) n ( c - 1 c ) n M ^ n ⁑ ( x ; Ξ² , c ) . fragments Meixner-polynomial-M 𝑛 π‘₯ 𝛽 𝑐 : 1 Pochhammer-symbol 𝛽 𝑛 superscript fragments ( 𝑐 1 𝑐 ) 𝑛 Meixner-polynomial-monic-p 𝑛 π‘₯ 𝛽 𝑐 . {\displaystyle{\displaystyle{\displaystyle M_{n}\!\left(x;\beta,c\right)=:% \frac{1}{{\left(\beta\right)_{n}}}\left(\frac{c-1}{c}\right)^{n}{\widehat{M}}_% {n}\!\left(x;\beta,c\right).}}}

Symbols List

M ^ n subscript ^ 𝑀 𝑛 {\displaystyle{\displaystyle{\displaystyle{\widehat{M}}_{n}}}}  : monic Meixner polynomial : http://drmf.wmflabs.org/wiki/Definition:monicMeixner
M n subscript 𝑀 𝑛 {\displaystyle{\displaystyle{\displaystyle M_{n}}}}  : Meixner polynomial : http://dlmf.nist.gov/18.19#T1.t1.r9
( a ) n subscript π‘Ž 𝑛 {\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}  : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii


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