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DLMF:18.38.E3 - MaRDI portal

DLMF:18.38.E3 (Q6755)

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DLMF:18.38.E3
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    Statements

    DLMF defining formula
    ∑ m = 0 n P m ( α , 0 ) ⁡ ( x ) ≥ 0 , superscript subscript 𝑚 0 𝑛 Jacobi-polynomial-P 𝛼 0 𝑚 𝑥 0 {\displaystyle{\displaystyle\sum_{m=0}^{n}P^{(\alpha,0)}_{m}\left(x\right)\geq 0% ,}}
    0 references
    constraint
    n = 0 , 1 , … 𝑛 0 1 … {\displaystyle{\displaystyle n=0,1,\dots}}
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    Symbols used
    Jacobi polynomial
    DLMF defining formula
    P n ( α , β ) ⁡ ( x ) Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 {\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}}
    xml-id
    C18.S3.T1.t1.r2.m2adec
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    nonnegative integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C18.S1.XMD5.m1dec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1bdec
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    real variable
    DLMF defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1bdec
    0 references

    Identifiers

     
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