DLMF:17.2.E47 (Q5337): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11710 / rank
 
Normal rank
Property / Symbols used: Q11710 / qualifier
 
Defining formula:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q11710 / qualifier
 
xml-id: C17.S1.XMD10.m1asdec

Revision as of 14:52, 2 January 2020

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DLMF:17.2.E47
No description defined

    Statements

    Defining formula
    lim q → 1 - ⁡ ∫ 0 a f ⁢ ( x ) ⁢ d q x = ∫ 0 a f ⁢ ( x ) ⁢ d x . subscript → 𝑞 limit-from 1 superscript subscript 0 𝑎 𝑓 𝑥 q-differential 𝑞 𝑥 superscript subscript 0 𝑎 𝑓 𝑥 𝑥 {\displaystyle{\displaystyle\lim_{q\to 1-}\int_{0}^{a}f(x){\mathrm{d}}_{q}x=% \int_{0}^{a}f(x)\mathrm{d}x.}}
    0 references
    DLMF id
    DLMF:17.2.E47
    0 references
    Symbols used
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    Q10771
    Defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3abdec
    0 references
    Q11299
    Defining formula
    d q x q-differential 𝑞 𝑥 {\displaystyle{\displaystyle{\mathrm{d}}_{\NVar{q}}\NVar{x}}}
    xml-id
    C17.S2.SS5.p1.m3abdec
    0 references
    Q11710
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C17.S1.XMD10.m1asdec
    0 references
     
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