DLMF:11.4.E14 (Q3946): Difference between revisions

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Property / constraint
 

ν - 3 2 , - 5 2 , - 7 2 , 𝜈 3 2 5 2 7 2 {\displaystyle{\displaystyle\nu\neq-\tfrac{3}{2},-\tfrac{5}{2},-\tfrac{7}{2},% \dots}}

\nu\neq-\tfrac{3}{2},-\tfrac{5}{2},-\tfrac{7}{2},\dots
Property / constraint: ν - 3 2 , - 5 2 , - 7 2 , 𝜈 3 2 5 2 7 2 {\displaystyle{\displaystyle\nu\neq-\tfrac{3}{2},-\tfrac{5}{2},-\tfrac{7}{2},% \dots}} / rank
 
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Revision as of 16:41, 30 December 2019

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DLMF:11.4.E14
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    Statements

    𝐇 ν ( z ) = 2 ( 1 2 z ) ν + 1 π Γ ( ν + 3 2 ) ( 1 + ϑ ) , Struve-H 𝜈 𝑧 2 superscript 1 2 𝑧 𝜈 1 𝜋 Euler-Gamma 𝜈 3 2 1 italic-ϑ {\displaystyle{\displaystyle\mathbf{H}_{\nu}\left(z\right)=\frac{2(\tfrac{1}{2% }z)^{\nu+1}}{\sqrt{\pi}\Gamma\left(\nu+\tfrac{3}{2}\right)}(1+\vartheta),}}
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    ν - 3 2 , - 5 2 , - 7 2 , 𝜈 3 2 5 2 7 2 {\displaystyle{\displaystyle\nu\neq-\tfrac{3}{2},-\tfrac{5}{2},-\tfrac{7}{2},% \dots}}
    0 references