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DLMF:10.51#Ex8

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MaRDI QIDQ4439

  • Label: DLMF:10.51#Ex8


Digital Library of Mathematical Functions ID 10.51#Ex8

n ⁢ g n - 1 ⁢ ( z ) + ( n + 1 ) ⁢ g n + 1 ⁢ ( z ) = ( 2 ⁢ n + 1 ) ⁢ g n ′ ⁢ ( z ) , 𝑛 subscript 𝑔 𝑛 1 𝑧 𝑛 1 subscript 𝑔 𝑛 1 𝑧 2 𝑛 1 superscript subscript 𝑔 𝑛 ′ 𝑧 {\displaystyle{\displaystyle ng_{n-1}(z)+(n+1)g_{n+1}(z)=(2n+1)g_{n}^{\prime}(% z),}}


Constraint(s)

n = 1 , 2 , … 𝑛 1 2 … {\displaystyle{\displaystyle n=1,2,\ldots}}

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