DLMF:11.7.E13 (Q4003): Difference between revisions

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imported>Admin
 
imported>Admin
Property / Symbols used
 
Property / Symbols used: Struve function / rank
 
Normal rank
Property / Symbols used: Struve function / qualifier
 
test:

𝐇 ν ( z ) Struve-H 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}}

\StruveH{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: Struve function / qualifier
 
xml-id: C11.S2.E1.m2ajdec

Revision as of 13:51, 2 January 2020

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DLMF:11.7.E13
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    Statements

    0 e - a t 𝐇 0 ( t ) d t = 2 π 1 + a 2 ln ( 1 + 1 + a 2 a ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 Struve-H 0 𝑡 𝑡 2 𝜋 1 superscript 𝑎 2 1 1 superscript 𝑎 2 𝑎 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}\mathbf{H}_{0}\left(t% \right)\mathrm{d}t=\frac{2}{\pi\sqrt{1+a^{2}}}\ln\left(\frac{1+\sqrt{1+a^{2}}}% {a}\right),}}
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    𝐇 ν ( z ) Struve-H 𝜈 𝑧 {\displaystyle{\displaystyle\mathbf{H}_{\NVar{\nu}}\left(\NVar{z}\right)}}
    C11.S2.E1.m2ajdec
    0 references