DLMF:11.7.E14 (Q4004)

From DRMF
Revision as of 15:12, 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:11.7.E14
No description defined

    Statements

    Defining formula
    ∫ 0 ∞ e - a ⁢ t ⁢ 𝐇 1 ⁡ ( t ) ⁢ d t = 2 π ⁢ a - 2 ⁢ a π ⁢ 1 + a 2 ⁢ ln ⁡ ( 1 + 1 + a 2 a ) , superscript subscript 0 superscript 𝑒 𝑎 𝑡 Struve-H 1 𝑡 𝑡 2 𝜋 𝑎 2 𝑎 𝜋 1 superscript 𝑎 2 1 1 superscript 𝑎 2 𝑎 {\displaystyle{\displaystyle\int_{0}^{\infty}e^{-at}\mathbf{H}_{1}\left(t% \right)\mathrm{d}t=\frac{2}{\pi a}-\frac{2a}{\pi\sqrt{1+a^{2}}}\ln\left(\frac{% 1+\sqrt{1+a^{2}}}{a}\right),}}
    0 references
    DLMF id
    DLMF:11.7.E14
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4004&oldid=10003"