DLMF:13.19.E3 (Q4589)

From testwiki
Revision as of 14:31, 29 December 2019 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:13.19.E3
No description defined

    Statements

    test
    W κ , μ ⁡ ( z ) ∼ e - 1 2 ⁢ z ⁢ z κ ⁢ ∑ s = 0 ∞ ( 1 2 + μ - κ ) s ⁢ ( 1 2 - μ - κ ) s s ! ⁢ ( - z ) - s , asymptotic-expansion Whittaker-confluent-hypergeometric-W 𝜅 𝜇 𝑧 superscript 𝑒 1 2 𝑧 superscript 𝑧 𝜅 superscript subscript 𝑠 0 Pochhammer 1 2 𝜇 𝜅 𝑠 Pochhammer 1 2 𝜇 𝜅 𝑠 𝑠 superscript 𝑧 𝑠 {\displaystyle{\displaystyle W_{\kappa,\mu}\left(z\right)\sim e^{-\frac{1}{2}z% }z^{\kappa}\sum_{s=0}^{\infty}\frac{{\left(\frac{1}{2}+\mu-\kappa\right)_{s}}{% \left(\frac{1}{2}-\mu-\kappa\right)_{s}}}{s!}{(-z)^{-s}},}}
    0 references
    DLMF id
    DLMF:13.19.E3
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4589&oldid=25236"