DLMF:11.2.E1 (Q3916): Difference between revisions

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Property / Symbols defined: Struve function / rank
 
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Revision as of 15:14, 30 December 2019

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DLMF:11.2.E1
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    𝐇 ν ( z ) = ( 1 2 z ) ν + 1 n = 0 ( - 1 ) n ( 1 2 z ) 2 n Γ ( n + 3 2 ) Γ ( n + ν + 3 2 ) , Struve-H 𝜈 𝑧 superscript 1 2 𝑧 𝜈 1 superscript subscript 𝑛 0 superscript 1 𝑛 superscript 1 2 𝑧 2 𝑛 Euler-Gamma 𝑛 3 2 Euler-Gamma 𝑛 𝜈 3 2 {\displaystyle{\displaystyle\mathbf{H}_{\nu}\left(z\right)=(\tfrac{1}{2}z)^{% \nu+1}\sum_{n=0}^{\infty}\frac{(-1)^{n}(\tfrac{1}{2}z)^{2n}}{\Gamma\left(n+% \tfrac{3}{2}\right)\Gamma\left(n+\nu+\tfrac{3}{2}\right)},}}
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