DLMF:11.7.E9 (Q3999): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10770 / rank
 
Normal rank
Property / Symbols used: Q10770 / qualifier
 
Defining formula:

d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

\diff{\NVar{x}}
Property / Symbols used: Q10770 / qualifier
 
xml-id: C1.S4.SS4.m1agdec

Revision as of 14:50, 2 January 2020

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DLMF:11.7.E9
No description defined

    Statements

    Defining formula
    ∫ 0 ∞ 𝐇 ν ⁡ ( t ) ⁢ d t = - cot ⁡ ( 1 2 ⁢ π ⁢ ν ) , superscript subscript 0 Struve-H 𝜈 𝑡 𝑡 1 2 𝜋 𝜈 {\displaystyle{\displaystyle\int_{0}^{\infty}\mathbf{H}_{\nu}\left(t\right)% \mathrm{d}t=-\cot\left(\tfrac{1}{2}\pi\nu\right),}}
    0 references
    DLMF id
    DLMF:11.7.E9
    0 references
    constraint
    - 2 < ℜ ⁡ ν < 0 2 𝜈 0 {\displaystyle{\displaystyle-2<\Re\nu<0}}
    0 references
    Symbols used
    Struve function
    Defining formula
    𝐇 ν ⁡ ( z ) Struve-H 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    xml-id
    C11.S2.E1.m2afdec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aedec
    0 references
    cotangent function
    Defining formula
    cot ⁡ z 𝑧 {\displaystyle{\displaystyle\cot\NVar{z}}}
    xml-id
    C4.S14.E7.m2adec
    0 references
    Q10770
    Defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1agdec
    0 references
     
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