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Formula:5796

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Digital Library of Mathematical Functions ID 15.9.E9

M n ⁑ ( x ; Ξ² , c ) = F ⁑ ( - n , - x Ξ² ; 1 - 1 c ) . Meixner-polynomial-M 𝑛 π‘₯ 𝛽 𝑐 Gauss-hypergeometric-F 𝑛 π‘₯ 𝛽 1 1 𝑐 {\displaystyle{\displaystyle M_{n}\left(x;\beta,c\right)=F\left({-n,-x\atop% \beta};1-\frac{1}{c}\right).}}


Constraint(s)

Symbols List

  • F ⁑ ( a , b ; c ; z ) Gauss-hypergeometric-F π‘Ž 𝑏 𝑐 𝑧 {\displaystyle{\displaystyle F\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}} : $$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function
  • M n ⁑ ( x ; Ξ² , c ) Meixner-polynomial-M 𝑛 π‘₯ 𝛽 𝑐 {\displaystyle{\displaystyle M_{\NVar{n}}\left(\NVar{x};\NVar{\beta},\NVar{c}% \right)}} : Meixner polynomial
  • x π‘₯ {\displaystyle{\displaystyle x}} : real variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • c 𝑐 {\displaystyle{\displaystyle c}} : real or complex parameter
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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