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Formula:5919

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Digital Library of Mathematical Functions ID 16.8.E4

z q ⁢ D q + 1 ⁢ w + ∑ j = 1 q z j - 1 ⁢ ( α j ⁢ z + β j ) ⁢ D j ⁢ w + α 0 ⁢ w = 0 , superscript 𝑧 𝑞 superscript 𝐷 𝑞 1 𝑤 superscript subscript 𝑗 1 𝑞 superscript 𝑧 𝑗 1 subscript 𝛼 𝑗 𝑧 subscript 𝛽 𝑗 superscript 𝐷 𝑗 𝑤 subscript 𝛼 0 𝑤 0 {\displaystyle{\displaystyle z^{q}D^{q+1}w+\sum_{j=1}^{q}z^{j-1}(\alpha_{j}z+% \beta_{j})D^{j}w+\alpha_{0}w=0,}}


Constraint(s)

p ≤ q 𝑝 𝑞 {\displaystyle{\displaystyle p\leq q}}

Symbols List

  • p 𝑝 {\displaystyle{\displaystyle p}} : nonnegative integer
  • q 𝑞 {\displaystyle{\displaystyle q}} : nonnegative integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • D 𝐷 {\displaystyle{\displaystyle D}} :
  • w 𝑤 {\displaystyle{\displaystyle w}} : solution
  • α j subscript 𝛼 𝑗 {\displaystyle{\displaystyle\alpha_{j}}} : constant
  • β j subscript 𝛽 𝑗 {\displaystyle{\displaystyle\beta_{j}}} : constant
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 11:30.
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