DLMF:10.11.E3 (Q3105)

From testwiki
Revision as of 13:45, 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:10.11.E3
No description defined

    Statements

    test
    sin ⁡ ( ν ⁢ π ) ⁢ H ν ( 1 ) ⁡ ( z ⁢ e m ⁢ π ⁢ i ) = - sin ⁡ ( ( m - 1 ) ⁢ ν ⁢ π ) ⁢ H ν ( 1 ) ⁡ ( z ) - e - ν ⁢ π ⁢ i ⁢ sin ⁡ ( m ⁢ ν ⁢ π ) ⁢ H ν ( 2 ) ⁡ ( z ) , 𝜈 𝜋 Hankel-H-1-Bessel-third-kind 𝜈 𝑧 superscript 𝑒 𝑚 𝜋 𝑖 𝑚 1 𝜈 𝜋 Hankel-H-1-Bessel-third-kind 𝜈 𝑧 superscript 𝑒 𝜈 𝜋 𝑖 𝑚 𝜈 𝜋 Hankel-H-2-Bessel-third-kind 𝜈 𝑧 {\displaystyle{\displaystyle\sin\left(\nu\pi\right){H^{(1)}_{\nu}}\left(ze^{m% \pi i}\right)=-\sin\left((m-1)\nu\pi\right){H^{(1)}_{\nu}}\left(z\right)-e^{-% \nu\pi i}\sin\left(m\nu\pi\right){H^{(2)}_{\nu}}\left(z\right),}}
    0 references
    DLMF id
    DLMF:10.11.E3
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q3105&oldid=16346"