DLMF:8.21.E5 (Q2726): Difference between revisions

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Property / constraint
 

a < 1 𝑎 1 {\displaystyle{\displaystyle\Re a<1}}

\realpart@@{a}<1
Property / constraint: a < 1 𝑎 1 {\displaystyle{\displaystyle\Re a<1}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: cosine function / rank
 
Normal rank
Property / Symbols used: cosine function / qualifier
 
test:

cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}

\cos@@{\NVar{z}}
Property / Symbols used: cosine function / qualifier
 
xml-id: C4.S14.E2.m2adec
Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
test:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1abdec
Property / Symbols used
 
Property / Symbols used: generalized cosine integral / rank
 
Normal rank
Property / Symbols used: generalized cosine integral / qualifier
 
test:

ci ( a , z ) generalized-cosine-integral-ci 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{ci}\left(\NVar{a},\NVar{z}\right)}}

\genshiftcosint@{\NVar{a}}{\NVar{z}}
Property / Symbols used: generalized cosine integral / qualifier
 
xml-id: C8.S21.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
test:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3abdec
Property / Symbols used
 
Property / Symbols used: Q10811 / rank
 
Normal rank
Property / Symbols used: Q10811 / qualifier
 
test:

absent {\displaystyle{\displaystyle\Re}}

\realpart@@
Property / Symbols used: Q10811 / qualifier
 
xml-id: C1.S9.E2.m1abdec
Property / Symbols used
 
Property / Symbols used: Q11323 / rank
 
Normal rank
Property / Symbols used: Q11323 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11323 / qualifier
 
xml-id: C8.S1.XMD2.m1cdec
Property / Symbols used
 
Property / Symbols used: Q11324 / rank
 
Normal rank
Property / Symbols used: Q11324 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11324 / qualifier
 
xml-id: C8.S1.XMD3.m1ddec

Latest revision as of 13:15, 2 January 2020

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DLMF:8.21.E5
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    Statements

    ci ( a , z ) = z t a - 1 cos t d t , generalized-cosine-integral-ci 𝑎 𝑧 superscript subscript 𝑧 superscript 𝑡 𝑎 1 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{ci}\left(a,z\right)=\int_{z}^{\infty}t^{a-% 1}\cos t\mathrm{d}t,}}
    0 references
    0 references
    a < 1 𝑎 1 {\displaystyle{\displaystyle\Re a<1}}
    0 references
    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2adec
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1abdec
    0 references
    ci ( a , z ) generalized-cosine-integral-ci 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{ci}\left(\NVar{a},\NVar{z}\right)}}
    C8.S21.E1.m2aadec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3abdec
    0 references
    absent {\displaystyle{\displaystyle\Re}}
    C1.S9.E2.m1abdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C8.S1.XMD2.m1cdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C8.S1.XMD3.m1ddec
    0 references