DLMF:1.15.E28 (Q570): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: imaginary unit / rank
 
Normal rank
Property / Symbols used: imaginary unit / qualifier
 
test:

i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}

\iunit
Property / Symbols used: imaginary unit / qualifier
 
xml-id: C1.S9.E1.m2agdec
Property / Symbols used
 
Property / Symbols used: Q10897 / rank
 
Normal rank
Property / Symbols used: Q10897 / qualifier
 
test:

sign x sign 𝑥 {\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}

\sign@@{\NVar{x}}
Property / Symbols used: Q10897 / qualifier
 
xml-id: introduction.Sx4.p2.t1.r18.m6adec
Property / Symbols used
 
Property / Symbols used: Q10757 / rank
 
Normal rank
Property / Symbols used: Q10757 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q10757 / qualifier
 
xml-id: C1.S1.XMD7.m1wdec
Property / Symbols used
 
Property / Symbols used: DLMF:1.15.E19 / rank
 
Normal rank
Property / Symbols used: DLMF:1.15.E19 / qualifier
 
test:

F ( n ) 𝐹 𝑛 {\displaystyle{\displaystyle F(n)}}

F(n)
Property / Symbols used: DLMF:1.15.E19 / qualifier
 
xml-id: C1.S15.XMD4.m1fdec

Latest revision as of 15:30, 1 January 2020

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DLMF:1.15.E28
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    Statements

    - n = - i ( sign n ) F ( n ) r | n | e i n θ ; subscript superscript 𝑛 𝑖 sign 𝑛 𝐹 𝑛 superscript 𝑟 𝑛 superscript 𝑒 𝑖 𝑛 𝜃 {\displaystyle{\displaystyle-\sum^{\infty}_{n=-\infty}i(\operatorname{sign}n)F% (n)r^{|n|}e^{in\theta};}}
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2agdec
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2agdec
    0 references
    sign x sign 𝑥 {\displaystyle{\displaystyle\operatorname{sign}\NVar{x}}}
    introduction.Sx4.p2.t1.r18.m6adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C1.S1.XMD7.m1wdec
    0 references
    F ( n ) 𝐹 𝑛 {\displaystyle{\displaystyle F(n)}}
    C1.S15.XMD4.m1fdec
    0 references