DLMF:18.18.E4 (Q5794): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1bdec

Latest revision as of 01:22, 2 January 2020

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DLMF:18.18.E4
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    Statements

    f ( x ) = n = 0 b n L n ( α ) ( x ) , 𝑓 𝑥 superscript subscript 𝑛 0 subscript 𝑏 𝑛 Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle f(x)=\sum_{n=0}^{\infty}b_{n}L^{(\alpha)}_{n}% \left(x\right),}}
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    DLMF:18.18.E4
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    0 < x < 0 𝑥 {\displaystyle{\displaystyle 0<x<\infty}}
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    L n ( α ) ( x ) Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}
    C18.S3.T1.t1.r12.m2adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S1.XMD6.m1cdec
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    f ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}
    C18.S18.XMD1.m1cdec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C18.S2.XMD3.m1bdec
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