DLMF:16.11.E1 (Q5233)

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DLMF:16.11.E1
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    Defining formula
    E p , q ⁢ ( z ) = ( 2 ⁢ π ) ( p - q ) / 2 ⁢ κ - ν - ( 1 / 2 ) ⁢ e κ ⁢ z 1 / κ ⁢ ∑ k = 0 ∞ c k ⁢ ( κ ⁢ z 1 / κ ) ν - k , subscript 𝐸 𝑝 𝑞 𝑧 superscript 2 𝜋 𝑝 𝑞 2 superscript 𝜅 𝜈 1 2 𝜅 superscript 𝑧 1 𝜅 superscript subscript 𝑘 0 subscript 𝑐 𝑘 superscript 𝜅 superscript 𝑧 1 𝜅 𝜈 𝑘 {\displaystyle{\displaystyle E_{p,q}(z)=(2\pi)^{\ifrac{(p-q)}{2}}\kappa^{-\nu-% (\ifrac{1}{2})}{\mathrm{e}^{\kappa z^{\ifrac{1}{\kappa}}}}\sum_{k=0}^{\infty}c% _{k}\left(\kappa z^{\ifrac{1}{\kappa}}\right)^{\nu-k},}}
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    DLMF id
    DLMF:16.11.E1
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