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DLMF:10.16#Ex6 - MaRDI portal

DLMF:10.16#Ex6 (Q3859)

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DLMF:10.16#Ex6
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    DLMF defining formula
    J - 1 4 ⁡ ( z ) = 2 - 1 4 ⁢ π - 1 2 ⁢ z - 1 4 ⁢ ( W ⁡ ( 0 , 2 ⁢ z 1 2 ) + W ⁡ ( 0 , - 2 ⁢ z 1 2 ) ) . Bessel-J 1 4 𝑧 superscript 2 1 4 superscript 𝜋 1 2 superscript 𝑧 1 4 parabolic-W 0 2 superscript 𝑧 1 2 parabolic-W 0 2 superscript 𝑧 1 2 {\displaystyle{\displaystyle J_{-\frac{1}{4}}\left(z\right)=2^{-\frac{1}{4}}% \pi^{-\frac{1}{2}}z^{-\frac{1}{4}}\left(W\left(0,2z^{\frac{1}{2}}\right)+W% \left(0,-2z^{\frac{1}{2}}\right)\right).}}
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