DLMF:2.6.E30 (Q856): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11021 / rank
 
Normal rank
Property / Symbols used: Q11021 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11021 / qualifier
 
xml-id: C2.S6.XMD4.m1hdec
Property / Symbols used
 
Property / Symbols used: Q11022 / rank
 
Normal rank
Property / Symbols used: Q11022 / qualifier
 
test:

f n , n ( t ) subscript 𝑓 𝑛 𝑛 𝑡 {\displaystyle{\displaystyle f_{n,n}(t)}}

f_{n,n}(t)
Property / Symbols used: Q11022 / qualifier
 
xml-id: C2.S6.XMD7.m1fdec

Latest revision as of 17:14, 1 January 2020

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DLMF:2.6.E30
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    Statements

    R n ( z ) = ( - 1 ) n z n 0 τ n f n ( τ ) τ + z d τ . subscript 𝑅 𝑛 𝑧 superscript 1 𝑛 superscript 𝑧 𝑛 superscript subscript 0 superscript 𝜏 𝑛 subscript 𝑓 𝑛 𝜏 𝜏 𝑧 𝜏 {\displaystyle{\displaystyle R_{n}(z)=\frac{(-1)^{n}}{z^{n}}\int_{0}^{\infty}% \frac{\tau^{n}f_{n}(\tau)}{\tau+z}\mathrm{d}\tau.}}
    0 references
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aldec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aldec
    0 references
    R n ( z ) subscript 𝑅 𝑛 𝑧 {\displaystyle{\displaystyle R_{n}(z)}}
    C2.S6.XMD12.m1bdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C2.S6.XMD4.m1hdec
    0 references
    f n , n ( t ) subscript 𝑓 𝑛 𝑛 𝑡 {\displaystyle{\displaystyle f_{n,n}(t)}}
    C2.S6.XMD7.m1fdec
    0 references