DLMF:2.4.E2 (Q755): Difference between revisions

From testwiki
Jump to navigation Jump to search
imported>Admin
imported>Admin
 
(3 intermediate revisions by the same user not shown)
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.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.m3aadec
Property / Symbols used
 
Property / Symbols used: Q10973 / rank
 
Normal rank
Property / Symbols used: Q10973 / qualifier
 
test:

q ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}

q(t)
Property / Symbols used: Q10973 / qualifier
 
xml-id: C2.S4.XMD16.m1adec
Property / Symbols used
 
Property / Symbols used: Q10975 / rank
 
Normal rank
Property / Symbols used: Q10975 / qualifier
 
test:

Q ( z ) 𝑄 𝑧 {\displaystyle{\displaystyle Q(z)}}

Q(z)
Property / Symbols used: Q10975 / qualifier
 
xml-id: C2.S4.XMD6.m1dec

Latest revision as of 16:56, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:2.4.E2
No description defined

    Statements

    Q ( z ) = 0 e - z t q ( t ) d t 𝑄 𝑧 superscript subscript 0 superscript 𝑒 𝑧 𝑡 𝑞 𝑡 𝑡 {\displaystyle{\displaystyle Q(z)=\int_{0}^{\infty}e^{-zt}q(t)\mathrm{d}t}}
    0 references
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aadec
    0 references
    e {\displaystyle{\displaystyle\mathrm{e}}}
    C4.S2.E11.m2aadec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aadec
    0 references
    q ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}}
    C2.S4.XMD16.m1adec
    0 references
    Q ( z ) 𝑄 𝑧 {\displaystyle{\displaystyle Q(z)}}
    C2.S4.XMD6.m1dec
    0 references