DLMF:7.5.E6 (Q2352)

From DRMF
Revision as of 13:20, 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:7.5.E6
No description defined

    Statements

    Defining formula
    e ± 1 2 ⁢ π ⁢ i ⁢ z 2 ⁢ ( g ⁡ ( z ) ± i ⁢ f ⁡ ( z ) ) = 1 2 ⁢ ( 1 ± i ) - ( C ⁡ ( z ) ± i ⁢ S ⁡ ( z ) ) . superscript 𝑒 plus-or-minus 1 2 𝜋 𝑖 superscript 𝑧 2 plus-or-minus Fresnel-auxilliary-function-g 𝑧 𝑖 Fresnel-auxilliary-function-f 𝑧 1 2 plus-or-minus 1 𝑖 plus-or-minus Fresnel-cosine-integral 𝑧 𝑖 Fresnel-sine-integral 𝑧 {\displaystyle{\displaystyle e^{\pm\frac{1}{2}\pi iz^{2}}(\mathrm{g}\left(z% \right)\pm i\mathrm{f}\left(z\right))=\tfrac{1}{2}(1\pm i)-(C\left(z\right)\pm iS% \left(z\right)).}}
    0 references
    DLMF id
    DLMF:7.5.E6
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q2352&oldid=8352"