DLMF:32.6.E16 (Q9255)

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DLMF:32.6.E16
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    Statements

    Defining formula
    z ⁢ H III ⁢ ( q , p , z ) = q 2 ⁢ p 2 - ( κ ∞ ⁢ z ⁢ q 2 + ( 2 ⁢ θ 0 + 1 ) ⁢ q - κ 0 ⁢ z ) ⁢ p + κ ∞ ⁢ ( θ 0 + θ ∞ ) ⁢ z ⁢ q , 𝑧 subscript H III 𝑞 𝑝 𝑧 superscript 𝑞 2 superscript 𝑝 2 subscript 𝜅 𝑧 superscript 𝑞 2 2 subscript 𝜃 0 1 𝑞 subscript 𝜅 0 𝑧 𝑝 subscript 𝜅 subscript 𝜃 0 subscript 𝜃 𝑧 𝑞 {\displaystyle{\displaystyle z\mathrm{H}_{\mbox{\scriptsize III}}(q,p,z)=q^{2}% p^{2}-{\left(\kappa_{\infty}zq^{2}+(2\theta_{0}+1)q-\kappa_{0}z\right)p}+% \kappa_{\infty}(\theta_{0}+\theta_{\infty})zq,}}
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    DLMF:32.6.E16
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    Warning: Falling back to standard tex;
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