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Formula:9807

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Digital Library of Mathematical Functions ID 31.14.E3

w ⁢ ( z ) = ( ∏ j = 1 N ( z - a j ) - γ j / 2 ) ⁢ W ⁢ ( z ) , 𝑤 𝑧 superscript subscript product 𝑗 1 𝑁 superscript 𝑧 subscript 𝑎 𝑗 subscript 𝛾 𝑗 2 𝑊 𝑧 {\displaystyle{\displaystyle w(z)=\left(\prod_{j=1}^{N}(z-a_{j})^{-\gamma_{j}/% 2}\right)W(z),}}


Constraint(s)

Symbols List

  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • γ 𝛾 {\displaystyle{\displaystyle\gamma}} : real or complex parameter
  • j 𝑗 {\displaystyle{\displaystyle j}} : nonnegative integer
  • a 𝑎 {\displaystyle{\displaystyle a}} : complex parameter
  • N + 1 𝑁 1 {\displaystyle{\displaystyle N+1}} : number of singularities
  • W ⁢ ( z ) 𝑊 𝑧 {\displaystyle{\displaystyle W(z)}} : solution (locally)
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