DLMF:13.24.E3 (Q4651)

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DLMF:13.24.E3
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    Defining formula
    exp ⁡ ( - 1 2 ⁢ z ⁢ ( coth ⁡ t - 1 t ) ) ⁢ ( t sinh ⁡ t ) 1 - 2 ⁢ μ = ∑ s = 0 ∞ p s ( μ ) ⁢ ( z ) ⁢ ( - t z ) s . 1 2 𝑧 hyperbolic-cotangent 𝑡 1 𝑡 superscript 𝑡 𝑡 1 2 𝜇 superscript subscript 𝑠 0 superscript subscript 𝑝 𝑠 𝜇 𝑧 superscript 𝑡 𝑧 𝑠 {\displaystyle{\displaystyle\exp\left(-\tfrac{1}{2}z\left(\coth t-\frac{1}{t}% \right)\right)\left(\frac{t}{\sinh t}\right)^{1-2\mu}=\sum_{s=0}^{\infty}p_{s}% ^{(\mu)}(z)\left(-\frac{t}{z}\right)^{s}.}}
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    DLMF:13.24.E3
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