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DLMF:10.66#Ex2 - MaRDI portal

DLMF:10.66#Ex2 (Q4542)

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DLMF:10.66#Ex2
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    DLMF defining formula
    bei n ⁡ ( x ⁢ 2 ) = ∑ k = - ∞ ∞ ( - 1 ) n + k ⁢ J n + 2 ⁢ k + 1 ⁡ ( x ) ⁢ I 2 ⁢ k + 1 ⁡ ( x ) . Kelvin-bei 𝑛 𝑥 2 superscript subscript 𝑘 superscript 1 𝑛 𝑘 Bessel-J 𝑛 2 𝑘 1 𝑥 modified-Bessel-first-kind 2 𝑘 1 𝑥 {\displaystyle{\displaystyle\operatorname{bei}_{n}\left(x\sqrt{2}\right)=\sum_% {k=-\infty}^{\infty}(-1)^{n+k}J_{n+2k+1}\left(x\right)I_{2k+1}\left(x\right).}}
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