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Formula:6292

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Digital Library of Mathematical Functions ID 18.9.E1

p n + 1 ⁢ ( x ) = ( A n ⁢ x + B n ) ⁢ p n ⁢ ( x ) - C n ⁢ p n - 1 ⁢ ( x ) , subscript 𝑝 𝑛 1 𝑥 subscript 𝐴 𝑛 𝑥 subscript 𝐵 𝑛 subscript 𝑝 𝑛 𝑥 subscript 𝐶 𝑛 subscript 𝑝 𝑛 1 𝑥 {\displaystyle{\displaystyle p_{n+1}(x)=(A_{n}x+B_{n})p_{n}(x)-C_{n}p_{n-1}(x)% ,}}


Constraint(s)

Symbols List

  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}} : polynomial of degree n
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
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