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Formula:865

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Digital Library of Mathematical Functions ID 2.7.E5

Q ⁢ ( α j + s ) ⁢ a s , j = - ∑ r = 0 s - 1 ( ( α j + r ) ⁢ f s - r + g s - r ) ⁢ a r , j , 𝑄 subscript 𝛼 𝑗 𝑠 subscript 𝑎 𝑠 𝑗 superscript subscript 𝑟 0 𝑠 1 subscript 𝛼 𝑗 𝑟 subscript 𝑓 𝑠 𝑟 subscript 𝑔 𝑠 𝑟 subscript 𝑎 𝑟 𝑗 {\displaystyle{\displaystyle Q(\alpha_{j}+s)a_{s,j}=-\sum_{r=0}^{s-1}\left((% \alpha_{j}+r)f_{s-r}+g_{s-r}\right)a_{r,j},}}


Constraint(s)

Symbols List

  • f s subscript 𝑓 𝑠 {\displaystyle{\displaystyle f_{s}}} : coefficients
  • g s subscript 𝑔 𝑠 {\displaystyle{\displaystyle g_{s}}} : coefficients
  • Q ⁢ ( α ) 𝑄 𝛼 {\displaystyle{\displaystyle Q(\alpha)}} : indicial function
  • a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}} : coefficients
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