DLMF:10.10.E2 (Q3102)

From testwiki
Revision as of 12:45, 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:10.10.E2
No description defined

    Statements

    test
    J ν ⁡ ( z ) J ν - 1 ⁡ ( z ) = 1 2 ⁢ z / ν 1 - 1 4 ⁢ z 2 / ( ν ⁢ ( ν + 1 ) ) 1 - 1 4 ⁢ z 2 / ( ( ν + 1 ) ⁢ ( ν + 2 ) ) 1 - ⋯ , Bessel-J 𝜈 𝑧 Bessel-J 𝜈 1 𝑧 continued-fraction 1 2 𝑧 𝜈 1 continued-fraction 1 4 superscript 𝑧 2 𝜈 𝜈 1 1 continued-fraction 1 4 superscript 𝑧 2 𝜈 1 𝜈 2 1 ⋯ {\displaystyle{\displaystyle\frac{J_{\nu}\left(z\right)}{J_{\nu-1}\left(z% \right)}=\cfrac{\tfrac{1}{2}z/\nu}{1-\cfrac{\tfrac{1}{4}z^{2}/(\nu(\nu+1))}{1-% \cfrac{\tfrac{1}{4}z^{2}/((\nu+1)(\nu+2))}{1-\cdots}}},}}
    0 references
    DLMF id
    DLMF:10.10.E2
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q3102&oldid=16322"