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Formula:5853

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Digital Library of Mathematical Functions ID 15.11.E4

w = P ⁑ { 0 1 ∞ 0 0 a z 1 - c c - a - b b } 𝑀 Riemann-P-symbol 0 1 absent 0 0 π‘Ž 𝑧 1 𝑐 𝑐 π‘Ž 𝑏 𝑏 absent {\displaystyle{\displaystyle w=P\begin{Bmatrix}0&1&\infty&\\ 0&0&a&z\\ 1-c&c-a-b&b&\end{Bmatrix}}}


Constraint(s)

Symbols List

  • P ⁑ { Ξ± Ξ² Ξ³ a 1 b 1 c 1 z a 2 b 2 c 2 } Riemann-P-symbol 𝛼 𝛽 𝛾 absent subscript π‘Ž 1 subscript 𝑏 1 subscript 𝑐 1 𝑧 subscript π‘Ž 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
  • a π‘Ž {\displaystyle{\displaystyle a}} : real or complex parameter
  • b 𝑏 {\displaystyle{\displaystyle b}} : real or complex parameter
  • c 𝑐 {\displaystyle{\displaystyle c}} : real or complex parameter
  • w 𝑀 {\displaystyle{\displaystyle w}} : solution
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This page was last edited on 28 January 2024, at 10:30.
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