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Formula:9778

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Digital Library of Mathematical Functions ID 31.11.E2

P j = P ⁡ { 0 1 ∞ 0 0 λ + j z 1 - γ 1 - δ μ - j } , subscript 𝑃 𝑗 Riemann-P-symbol 0 1 absent 0 0 𝜆 𝑗 𝑧 1 𝛾 1 𝛿 𝜇 𝑗 absent {\displaystyle{\displaystyle P_{j}=P\begin{Bmatrix}0&1&\infty&\\ 0&0&\lambda+j&z\\ 1-\gamma&1-\delta&\mu-j&\end{Bmatrix},}}


Constraint(s)

Symbols List

  • P ⁡ { α β γ a 1 b 1 c 1 z a 2 b 2 c 2 } Riemann-P-symbol 𝛼 𝛽 𝛾 absent subscript 𝑎 1 subscript 𝑏 1 subscript 𝑐 1 𝑧 subscript 𝑎 2 subscript 𝑏 2 subscript 𝑐 2 absent {\displaystyle{\displaystyle P\NVar{\begin{Bmatrix}\alpha&\beta&\gamma&\\ a_{1}&b_{1}&c_{1}&z\\ a_{2}&b_{2}&c_{2}&\end{Bmatrix}}}} : Riemann’s $$P$$ -symbol for solutions of the generalized hypergeometric differential equation
  • 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
  • j 𝑗 {\displaystyle{\displaystyle j}} : nonnegative integer
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : 31.11.E3
  • μ 𝜇 {\displaystyle{\displaystyle\mu}} : 31.11.E3
  •  Edit this on Wikidata

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