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2.10.E24

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Formula:982
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MaRDI QIDQ982

  • Label: 2.10.E24


Digital Library of Mathematical Functions ID 2.10.E24

F 2 0 ⁡ ( - ; 1 , 1 ; x ) ∼ exp ⁡ ( 3 ⁢ x 1 / 3 ) 2 ⁢ π ⁢ 3 1 / 2 ⁢ x 1 / 3 , asymptotically-equals Gauss-hypergeometric-pFq 0 2 1 1 𝑥 3 superscript 𝑥 1 3 2 𝜋 superscript 3 1 2 superscript 𝑥 1 3 {\displaystyle{\displaystyle{{}_{0}F_{2}}\left(-;1,1;x\right)\sim\frac{\exp% \left(3x^{1/3}\right)}{2\pi 3^{1/2}x^{1/3}},}}


Constraint(s)

x → + ∞ → 𝑥 {\displaystyle{\displaystyle x\to+\infty}}

Symbols List

  • F q p ⁡ ( a 1 , … , a p ; b 1 , … , b q ; z ) Gauss-hypergeometric-pFq 𝑝 𝑞 subscript 𝑎 1 … subscript 𝑎 𝑝 subscript 𝑏 1 … subscript 𝑏 𝑞 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
  • ∼ asymptotically-equals {\displaystyle{\displaystyle\sim}} : asymptotic equality
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  •  Edit this on Wikidata

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