DLMF:19.12.E2 (Q6299)

From testwiki
Revision as of 16:45, 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:19.12.E2
No description defined

    Statements

    test
    E ⁡ ( k ) = 1 + 1 2 ⁢ ∑ m = 0 ∞ ( 1 2 ) m ⁢ ( 3 2 ) m ( 2 ) m ⁢ m ! ⁢ k ′ 2 ⁢ m + 2 ⁢ ( ln ⁡ ( 1 k ′ ) + d ⁢ ( m ) - 1 ( 2 ⁢ m + 1 ) ⁢ ( 2 ⁢ m + 2 ) ) , complete-elliptic-integral-second-kind-E 𝑘 1 1 2 superscript subscript 𝑚 0 Pochhammer 1 2 𝑚 Pochhammer 3 2 𝑚 Pochhammer 2 𝑚 𝑚 superscript superscript 𝑘 ′ 2 𝑚 2 1 superscript 𝑘 ′ 𝑑 𝑚 1 2 𝑚 1 2 𝑚 2 {\displaystyle{\displaystyle E\left(k\right)=1+\frac{1}{2}\sum_{m=0}^{\infty}% \frac{{\left(\tfrac{1}{2}\right)_{m}}{\left(\tfrac{3}{2}\right)_{m}}}{{\left(2% \right)_{m}}m!}{k^{\prime}}^{2m+2}\*\left(\ln\left(\frac{1}{k^{\prime}}\right)% +d(m)-\frac{1}{(2m+1)(2m+2)}\right),}}
    0 references
    DLMF id
    DLMF:19.12.E2
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q6299&oldid=35825"