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Formula:6546

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Digital Library of Mathematical Functions ID 18.20.E8

C n ⁑ ( x ; a ) = F 0 2 ⁑ ( - n , - x - ; - a - 1 ) . Charlier-polynomial-C 𝑛 π‘₯ π‘Ž Gauss-hypergeometric-pFq 2 0 𝑛 π‘₯ superscript π‘Ž 1 {\displaystyle{\displaystyle C_{n}\left(x;a\right)={{}_{2}F_{0}}\left({-n,-x% \atop-};-a^{-1}\right).}}


Constraint(s)

Symbols List

  • C n ⁑ ( x ; a ) Charlier-polynomial-C 𝑛 π‘₯ π‘Ž {\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}} : Charlier polynomial
  • F q p ⁑ ( a 1 , … , a p ; b 1 , … , b q ; z ) Gauss-hypergeometric-pFq 𝑝 π‘ž subscript π‘Ž 1 … subscript π‘Ž 𝑝 subscript 𝑏 1 … subscript 𝑏 π‘ž 𝑧 {\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}} : alternatively F q p ( a ; b ; z ) or F q p ( a b ; z ) generalized hypergeometric function
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • x π‘₯ {\displaystyle{\displaystyle x}} : real variable
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This page was last edited on 28 January 2024, at 10:30.
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