DLMF:13.14.E19 (Q4508)

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DLMF:13.14.E19
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    Defining formula
    W κ , 0 ⁡ ( z ) = - z Γ ⁡ ( 1 2 - κ ) ⁢ ( ln ⁡ z + ψ ⁡ ( 1 2 - κ ) + 2 ⁢ γ ) + O ⁡ ( z 3 / 2 ⁢ ln ⁡ z ) . Whittaker-confluent-hypergeometric-W 𝜅 0 𝑧 𝑧 Euler-Gamma 1 2 𝜅 𝑧 digamma 1 2 𝜅 2 𝛾 Big-O superscript 𝑧 3 2 𝑧 {\displaystyle{\displaystyle W_{\kappa,0}\left(z\right)=-\frac{\sqrt{z}}{% \Gamma\left(\frac{1}{2}-\kappa\right)}\left(\ln z+\psi\left(\tfrac{1}{2}-% \kappa\right)+2\gamma\right)+O\left(z^{\ifrac{3}{2}}\ln z\right).}}
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    DLMF id
    DLMF:13.14.E19
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