DLMF:18.22.E14 (Q5883)

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DLMF:18.22.E14
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    Statements

    Defining formula
    A ⁢ ( x ) ⁢ p n ⁢ ( x + i ) - ( A ⁢ ( x ) + C ⁢ ( x ) ) ⁢ p n ⁢ ( x ) + C ⁢ ( x ) ⁢ p n ⁢ ( x - i ) + n ⁢ ( n + 2 ⁢ ℜ ⁡ ( a + b ) - 1 ) ⁢ p n ⁢ ( x ) = 0 , 𝐴 𝑥 subscript 𝑝 𝑛 𝑥 𝑖 𝐴 𝑥 𝐶 𝑥 subscript 𝑝 𝑛 𝑥 𝐶 𝑥 subscript 𝑝 𝑛 𝑥 𝑖 𝑛 𝑛 2 𝑎 𝑏 1 subscript 𝑝 𝑛 𝑥 0 {\displaystyle{\displaystyle A(x)p_{n}(x+i)-\left(A(x)+C(x)\right)p_{n}(x)+C(x% )p_{n}(x-i)+n(n+2\Re(a+b)-1)p_{n}(x)=0,}}
    0 references
    DLMF id
    DLMF:18.22.E14
    0 references
    Symbols used
    imaginary unit
    Defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2abdec
    0 references
     
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