DLMF:10.22.E41 (Q3415): Difference between revisions

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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.m3aandec
Property / Symbols used
 
Property / Symbols used: Q10811 / rank
 
Normal rank
Property / Symbols used: Q10811 / qualifier
 
Defining formula:

absent {\displaystyle{\displaystyle\Re}}

\realpart@@
Property / Symbols used: Q10811 / qualifier
 
xml-id: C1.S9.E2.m1avdec
Property / Symbols used
 
Property / Symbols used: Q11427 / rank
 
Normal rank
Property / Symbols used: Q11427 / qualifier
 
Defining formula:

ν 𝜈 {\displaystyle{\displaystyle\nu}}

\nu
Property / Symbols used: Q11427 / qualifier
 
xml-id: C10.S1.XMD7.m1aadec

Latest revision as of 13:20, 2 January 2020

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DLMF:10.22.E41
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    Statements

    0 J ν ( t ) d t = 1 , superscript subscript 0 Bessel-J 𝜈 𝑡 𝑡 1 {\displaystyle{\displaystyle\int_{0}^{\infty}J_{\nu}\left(t\right)\mathrm{d}t=% 1,}}
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    DLMF:10.22.E41
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    ν > - 1 𝜈 1 {\displaystyle{\displaystyle\Re\nu>-1}}
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    J ν ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C10.S2.E2.m2aafdec
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    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aandec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aandec
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    absent {\displaystyle{\displaystyle\Re}}
    C1.S9.E2.m1avdec
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    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    C10.S1.XMD7.m1aadec
    0 references