DLMF:10.47.E17 (Q3690): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: modified spherical Bessel function / rank
 
Normal rank
Property / Symbols used: modified spherical Bessel function / qualifier
 
test:

𝗂 n ( 2 ) ⁡ ( z ) spherical-Bessel-I-2 𝑛 𝑧 {\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{\NVar{n}}}\left(\NVar{z}\right)}}

\modsphBesseli{2}{\NVar{n}}@{\NVar{z}}
Property / Symbols used: modified spherical Bessel function / qualifier
 
xml-id: C10.S47.E8.m2addec

Revision as of 14:09, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:10.47.E17
No description defined

    Statements

    test
    𝗄 n ⁡ ( - z ) = - 1 2 ⁢ π ⁢ ( 𝗂 n ( 1 ) ⁡ ( z ) + 𝗂 n ( 2 ) ⁡ ( z ) ) . spherical-Bessel-K 𝑛 𝑧 1 2 𝜋 spherical-Bessel-I-1 𝑛 𝑧 spherical-Bessel-I-2 𝑛 𝑧 {\displaystyle{\displaystyle\mathsf{k}_{n}\left(-z\right)=-\tfrac{1}{2}\pi% \left({\mathsf{i}^{(1)}_{n}}\left(z\right)+{\mathsf{i}^{(2)}_{n}}\left(z\right% )\right).}}
    0 references
    DLMF id
    DLMF:10.47.E17
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    test
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aidec
    0 references
    modified spherical Bessel function
    test
    𝗂 n ( 1 ) ⁡ ( z ) spherical-Bessel-I-1 𝑛 𝑧 {\displaystyle{\displaystyle{\mathsf{i}^{(1)}_{\NVar{n}}}\left(\NVar{z}\right)}}
    xml-id
    C10.S47.E7.m2addec
    0 references
    modified spherical Bessel function
    test
    𝗂 n ( 2 ) ⁡ ( z ) spherical-Bessel-I-2 𝑛 𝑧 {\displaystyle{\displaystyle{\mathsf{i}^{(2)}_{\NVar{n}}}\left(\NVar{z}\right)}}
    xml-id
    C10.S47.E8.m2addec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q3690&oldid=19841"