DLMF:2.10.E13 (Q1000): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
test:

e {\displaystyle{\displaystyle\mathrm{e}}}

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2abdec
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.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11118 / rank
 
Normal rank
Property / Symbols used: Q11118 / qualifier
 
test:

U j subscript 𝑈 𝑗 {\displaystyle{\displaystyle U_{j}}}

U_{j}
Property / Symbols used: Q11118 / qualifier
 
xml-id: C2.S10.XMD10.m1bdec

Latest revision as of 17:34, 1 January 2020

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DLMF:2.10.E13
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    Statements

    U j = e i β ( e i j β - 1 ) / ( e i β - 1 ) , subscript 𝑈 𝑗 superscript 𝑒 𝑖 𝛽 superscript 𝑒 𝑖 𝑗 𝛽 1 superscript 𝑒 𝑖 𝛽 1 {\displaystyle{\displaystyle U_{j}=e^{i\beta}(e^{ij\beta}-1)/(e^{i\beta}-1),}}
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    Warning: Falling back to standard tex;
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    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2abdec
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    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    C1.S9.E1.m2abdec
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    U j subscript 𝑈 𝑗 {\displaystyle{\displaystyle U_{j}}}
    C2.S10.XMD10.m1bdec
    0 references