DLMF:8.12.E10 (Q2606): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11353 / rank
 
Normal rank
Property / Symbols used: Q11353 / qualifier
 
test:

g k subscript 𝑔 𝑘 {\displaystyle{\displaystyle g_{k}}}

g_{k}
Property / Symbols used: Q11353 / qualifier
 
xml-id: C8.S12.XMD7.m1dec

Latest revision as of 12:58, 2 January 2020

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DLMF:8.12.E10
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    Statements

    test
    c k ⁢ ( η ) = 1 η ⁢ d d η ⁡ c k - 1 ⁢ ( η ) + ( - 1 ) k ⁢ g k μ , subscript 𝑐 𝑘 𝜂 1 𝜂 derivative 𝜂 subscript 𝑐 𝑘 1 𝜂 superscript 1 𝑘 subscript 𝑔 𝑘 𝜇 {\displaystyle{\displaystyle c_{k}(\eta)=\frac{1}{\eta}\frac{\mathrm{d}}{% \mathrm{d}\eta}c_{k-1}(\eta)+(-1)^{k}\frac{g_{k}}{\mu},}}
    0 references
    DLMF id
    DLMF:8.12.E10
    0 references
    constraint
    k = 1 , 2 , … 𝑘 1 2 … {\displaystyle{\displaystyle k=1,2,\dots}}
    0 references
    Symbols used
    derivative of $$f$$ with respect to $$x$$
    test
    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    xml-id
    C1.S4.E4.m2aadec
    0 references
    Q11330
    test
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C8.S1.XMD5.m1bdec
    0 references
    Q11348
    test
    η ⁢ ( λ ) 𝜂 𝜆 {\displaystyle{\displaystyle\eta(\lambda)}}
    xml-id
    C8.S12.XMD1.m1idec
    0 references
    Q11352
    test
    μ 𝜇 {\displaystyle{\displaystyle\mu}}
    xml-id
    C8.S12.XMD5.m1adec
    0 references
    Q11351
    test
    c k ⁢ ( η ) subscript 𝑐 𝑘 𝜂 {\displaystyle{\displaystyle c_{k}(\eta)}}
    xml-id
    C8.S12.XMD6.m1cdec
    0 references
    Q11353
    test
    g k subscript 𝑔 𝑘 {\displaystyle{\displaystyle g_{k}}}
    xml-id
    C8.S12.XMD7.m1dec
    0 references
     
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