DLMF:18.22.E23 (Q5894)

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DLMF:18.22.E23
No description defined

    Statements

    Defining formula
    Δ x M n ⁡ ( x ; β , c ) = - n ⁢ ( 1 - c ) β ⁢ c ⁢ M n - 1 ⁡ ( x ; β + 1 , c ) , forward-difference 𝑥 Meixner-polynomial-M 𝑛 𝑥 𝛽 𝑐 𝑛 1 𝑐 𝛽 𝑐 Meixner-polynomial-M 𝑛 1 𝑥 𝛽 1 𝑐 {\displaystyle{\displaystyle\Delta_{x}M_{n}\left(x;\beta,c\right)=-\frac{n(1-c% )}{\beta c}M_{n-1}\left(x;\beta+1,c\right),}}
    0 references
    DLMF id
    DLMF:18.22.E23
    0 references
    Symbols used
    Q11663
    Defining formula
    M n ⁡ ( x ; β , c ) Meixner-polynomial-M 𝑛 𝑥 𝛽 𝑐 {\displaystyle{\displaystyle M_{\NVar{n}}\left(\NVar{x};\NVar{\beta},\NVar{c}% \right)}}
    xml-id
    C18.S19.T1.t1.r4.m2abdec
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    Q11097
    Defining formula
    Δ forward-difference {\displaystyle{\displaystyle\Delta}}
    xml-id
    C3.S6.SS1.p1.m2abdec
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    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1udec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1vdec
    0 references
     
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