DLMF:2.5.E32 (Q808): Difference between revisions

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imported>Admin
 
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Property / Symbols used
 
Property / Symbols used: Mellin transform / rank
 
Normal rank
Property / Symbols used: Mellin transform / qualifier
 
test:

ℳ ⁡ ( f ) ⁡ ( s ) Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}

\Mellintrans@{\NVar{f}}@{\NVar{s}}
Property / Symbols used: Mellin transform / qualifier
 
xml-id: C1.S14.E32.m2amdec
Property / Symbols used
 
Property / Symbols used: Q11003 / rank
 
Normal rank
Property / Symbols used: Q11003 / qualifier
 
test:

f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}

f(x)
Property / Symbols used: Q11003 / qualifier
 
xml-id: C2.S5.XMD14.m1hdec
Property / Symbols used
 
Property / Symbols used: Q11005 / rank
 
Normal rank
Property / Symbols used: Q11005 / qualifier
 
test:

h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}}

h(x)
Property / Symbols used: Q11005 / qualifier
 
xml-id: C2.S5.XMD16.m1hdec
Property / Symbols used
 
Property / Symbols used: Q11009 / rank
 
Normal rank
Property / Symbols used: Q11009 / qualifier
 
test:

f j ⁢ ( t ) subscript 𝑓 𝑗 𝑡 {\displaystyle{\displaystyle f_{j}(t)}}

f_{j}(t)
Property / Symbols used: Q11009 / qualifier
 
xml-id: C2.S5.XMD19.m1fdec
Property / Symbols used
 
Property / Symbols used: Q11010 / rank
 
Normal rank
Property / Symbols used: Q11010 / qualifier
 
test:

G j ⁢ k ⁢ ( z ) subscript 𝐺 𝑗 𝑘 𝑧 {\displaystyle{\displaystyle G_{jk}(z)}}

G_{jk}(z)
Property / Symbols used: Q11010 / qualifier
 
xml-id: C2.S5.XMD21.m1dec

Latest revision as of 16:05, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:2.5.E32
No description defined

    Statements

    test
    G j ⁢ k ⁢ ( z ) = ℳ ⁡ f j ⁡ ( 1 - z ) ⁢ ℳ ⁡ h k ⁡ ( z ) . subscript 𝐺 𝑗 𝑘 𝑧 Mellin-transform subscript 𝑓 𝑗 1 𝑧 Mellin-transform subscript ℎ 𝑘 𝑧 {\displaystyle{\displaystyle G_{jk}(z)=\mathscr{M}\mskip-3.0mu f_{j}\mskip 3.0% mu \left(1-z\right)\mathscr{M}\mskip-3.0mu h_{k}\mskip 3.0mu \left(z\right).}}
    0 references
    DLMF id
    DLMF:2.5.E32
    0 references
    Symbols used
    Mellin transform
    test
    ℳ ⁡ ( f ) ⁡ ( s ) Mellin-transform 𝑓 𝑠 {\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}
    xml-id
    C1.S14.E32.m2amdec
    0 references
    Q11003
    test
    f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}
    xml-id
    C2.S5.XMD14.m1hdec
    0 references
    Q11005
    test
    h ⁢ ( x ) ℎ 𝑥 {\displaystyle{\displaystyle h(x)}}
    xml-id
    C2.S5.XMD16.m1hdec
    0 references
    Q11009
    test
    f j ⁢ ( t ) subscript 𝑓 𝑗 𝑡 {\displaystyle{\displaystyle f_{j}(t)}}
    xml-id
    C2.S5.XMD19.m1fdec
    0 references
    Q11010
    test
    G j ⁢ k ⁢ ( z ) subscript 𝐺 𝑗 𝑘 𝑧 {\displaystyle{\displaystyle G_{jk}(z)}}
    xml-id
    C2.S5.XMD21.m1dec
    0 references
     
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