DLMF:1.14.E13 (Q505): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q10771 / rank
 
Normal rank
Property / Symbols used: Q10771 / qualifier
 
Defining formula:

{\displaystyle{\displaystyle\int}}

\int
Property / Symbols used: Q10771 / qualifier
 
xml-id: C1.S4.SS4.m3akdec
Property / Symbols used
 
Property / Symbols used: Q10888 / rank
 
Normal rank
Property / Symbols used: Q10888 / qualifier
 
Defining formula:

F c ( x ) subscript 𝐹 𝑐 𝑥 {\displaystyle{\displaystyle F_{c}(x)}}

F_{c}(x)
Property / Symbols used: Q10888 / qualifier
 
xml-id: C1.S14.XMD4.m1bdec
Property / Symbols used
 
Property / Symbols used: Q10890 / rank
 
Normal rank
Property / Symbols used: Q10890 / qualifier
 
Defining formula:

G c ( x ) subscript 𝐺 𝑐 𝑥 {\displaystyle{\displaystyle G_{c}(x)}}

G_{c}(x)
Property / Symbols used: Q10890 / qualifier
 
xml-id: C1.S14.XMD6.m1dec

Latest revision as of 16:23, 1 January 2020

No description defined
Language Label Description Also known as
English
DLMF:1.14.E13
No description defined

    Statements

    0 F c ( x ) G c ( x ) d x = 0 f ( t ) g ( t ) d t , subscript superscript 0 subscript 𝐹 𝑐 𝑥 subscript 𝐺 𝑐 𝑥 𝑥 subscript superscript 0 𝑓 𝑡 𝑔 𝑡 𝑡 {\displaystyle{\displaystyle\int^{\infty}_{0}F_{c}(x)G_{c}(x)\mathrm{d}x=\int^% {\infty}_{0}f(t)g(t)\mathrm{d}t,}}
    0 references
    DLMF:1.14.E13
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aldec
    0 references
    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3akdec
    0 references
    F c ( x ) subscript 𝐹 𝑐 𝑥 {\displaystyle{\displaystyle F_{c}(x)}}
    C1.S14.XMD4.m1bdec
    0 references
    G c ( x ) subscript 𝐺 𝑐 𝑥 {\displaystyle{\displaystyle G_{c}(x)}}
    C1.S14.XMD6.m1dec
    0 references