DLMF:6.2.E17 (Q2228): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: cosine integral / rank
 
Normal rank
Property / Symbols used: cosine integral / qualifier
 
Defining formula:

Ci ( z ) cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}

\cosint@{\NVar{z}}
Property / Symbols used: cosine integral / qualifier
 
xml-id: C6.S2.E11.m2acdec
Property / Symbols used
 
Property / Symbols used: sine integral / rank
 
Normal rank
Property / Symbols used: sine integral / qualifier
 
Defining formula:

si ( z ) shifted-sine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{si}\left(\NVar{z}\right)}}

\shiftsinint@{\NVar{z}}
Property / Symbols used: sine integral / qualifier
 
xml-id: C6.S2.E10.m2aadec
Property / Symbols used
 
Property / Symbols used: sine function / rank
 
Normal rank
Property / Symbols used: sine function / qualifier
 
Defining formula:

sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2abdec
Property / Symbols used
 
Property / Symbols used: Q11305 / rank
 
Normal rank
Property / Symbols used: Q11305 / qualifier
 
Defining formula:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11305 / qualifier
 
xml-id: C6.S1.XMD2.m1kdec

Latest revision as of 01:21, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:6.2.E17
No description defined

    Statements

    f ( z ) = Ci ( z ) sin z - si ( z ) cos z , sine-cosine-integral-f 𝑧 cosine-integral 𝑧 𝑧 shifted-sine-integral 𝑧 𝑧 {\displaystyle{\displaystyle\mathrm{f}\left(z\right)=\phantom{+}\mathrm{Ci}% \left(z\right)\sin z-\mathrm{si}\left(z\right)\cos z,}}
    0 references
    DLMF:6.2.E17
    0 references
    cos z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    C4.S14.E2.m2abdec
    0 references
    Ci ( z ) cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}
    C6.S2.E11.m2acdec
    0 references
    si ( z ) shifted-sine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{si}\left(\NVar{z}\right)}}
    C6.S2.E10.m2aadec
    0 references
    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2abdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C6.S1.XMD2.m1kdec
    0 references