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Formula:9704

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Digital Library of Mathematical Functions ID 31.3.E8

H ⁢ ℓ ⁡ ( a a - 1 , α ⁢ β ⁢ a - q a - 1 ; α , β , ϵ , δ ; a - z a - 1 ) , Heun-local 𝑎 𝑎 1 𝛼 𝛽 𝑎 𝑞 𝑎 1 𝛼 𝛽 italic-ϵ 𝛿 𝑎 𝑧 𝑎 1 {\displaystyle{\displaystyle\mathit{H\!\ell}\left(\frac{a}{a-1},\frac{\alpha% \beta a-q}{a-1};\alpha,\beta,\epsilon,\delta;\frac{a-z}{a-1}\right),}}


Constraint(s)

Symbols List

  • H ⁢ ℓ ⁡ ( a , q ; α , β , γ , missing ; missing ) Heun-local 𝑎 𝑞 𝛼 𝛽 𝛾 missing missing {\displaystyle{\displaystyle\mathit{H\!\ell}\left(\NVar{a},\NVar{q};\NVar{% \alpha},\NVar{\beta},\NVar{\gamma},\NVar{missing};missing\right)\)\@add@PDF@RDFa@triples\end{document}}} : Heun functions
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • δ 𝛿 {\displaystyle{\displaystyle\delta}} : real or complex parameter
  • ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}} : real or complex parameter
  • a 𝑎 {\displaystyle{\displaystyle a}} : complex parameter
  • q 𝑞 {\displaystyle{\displaystyle q}} : real or complex parameter
  • α 𝛼 {\displaystyle{\displaystyle\alpha}} : real or complex parameter
  • β 𝛽 {\displaystyle{\displaystyle\beta}} : real or complex parameter
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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