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Formula:9708

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Digital Library of Mathematical Functions ID 31.3.E12

H ⁢ ℓ ⁡ ( 1 / a , q / a ; α , β , γ , α + β + 1 - γ - δ ; z / a ) , Heun-local 1 𝑎 𝑞 𝑎 𝛼 𝛽 𝛾 𝛼 𝛽 1 𝛾 𝛿 𝑧 𝑎 {\displaystyle{\displaystyle\mathit{H\!\ell}\left(1/a,q/a;\alpha,\beta,\gamma,% \alpha+\beta+1-\gamma-\delta;z/a\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
  • γ 𝛾 {\displaystyle{\displaystyle\gamma}} : real or complex parameter
  • δ 𝛿 {\displaystyle{\displaystyle\delta}} : 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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