DLMF:8.20.E4 (Q2717): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / rank
 
Normal rank
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
test:

d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}

\deriv{\NVar{f}}{\NVar{x}}
Property / Symbols used: derivative of $$f$$ with respect to $$x$$ / qualifier
 
xml-id: C1.S4.E4.m2adec
Property / Symbols used
 
Property / Symbols used: Q11330 / rank
 
Normal rank
Property / Symbols used: Q11330 / qualifier
 
test:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11330 / qualifier
 
xml-id: C8.S1.XMD5.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11380 / rank
 
Normal rank
Property / Symbols used: Q11380 / qualifier
 
test:

A k ( λ ) subscript 𝐴 𝑘 𝜆 {\displaystyle{\displaystyle A_{k}(\lambda)}}

A_{k}(\lambda)
Property / Symbols used: Q11380 / qualifier
 
xml-id: C8.S20.XMD1.m1dec

Latest revision as of 13:14, 2 January 2020

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DLMF:8.20.E4
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    Statements

    A k + 1 ( λ ) = ( 1 - 2 k λ ) A k ( λ ) + λ ( λ + 1 ) d A k ( λ ) d λ , subscript 𝐴 𝑘 1 𝜆 1 2 𝑘 𝜆 subscript 𝐴 𝑘 𝜆 𝜆 𝜆 1 derivative subscript 𝐴 𝑘 𝜆 𝜆 {\displaystyle{\displaystyle A_{k+1}(\lambda)=(1-2k\lambda)A_{k}(\lambda)+% \lambda(\lambda+1)\frac{\mathrm{d}A_{k}(\lambda)}{\mathrm{d}\lambda},}}
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    k = 0 , 1 , 2 , 𝑘 0 1 2 {\displaystyle{\displaystyle k=0,1,2,\dots}}
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    d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}}
    C1.S4.E4.m2adec
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    k 𝑘 {\displaystyle{\displaystyle k}}
    C8.S1.XMD5.m1cdec
    0 references
    A k ( λ ) subscript 𝐴 𝑘 𝜆 {\displaystyle{\displaystyle A_{k}(\lambda)}}
    C8.S20.XMD1.m1dec
    0 references