DLMF:7.18.E6 (Q2456)

From DRMF
Revision as of 13:23, 29 December 2019 by Admin (talk | contribs) (‎Created a new Item: Wikidata Toolkit example test item creation)
(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:7.18.E6
No description defined

    Statements

    Defining formula
    i n ⁢ erfc ⁡ ( z ) = ∑ k = 0 ∞ ( - 1 ) k ⁢ z k 2 n - k ⁢ k ! ⁢ Γ ⁡ ( 1 + 1 2 ⁢ ( n - k ) ) . repeated-integral-complementary-error-function 𝑛 𝑧 superscript subscript 𝑘 0 superscript 1 𝑘 superscript 𝑧 𝑘 superscript 2 𝑛 𝑘 𝑘 Euler-Gamma 1 1 2 𝑛 𝑘 {\displaystyle{\displaystyle\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(z\right)% =\sum_{k=0}^{\infty}\frac{(-1)^{k}z^{k}}{2^{n-k}k!\Gamma\left(1+\frac{1}{2}(n-% k)\right)}.}}
    0 references
    DLMF id
    DLMF:7.18.E6
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2456&oldid=8456"