DLMF:19.29.E18 (Q6646): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11906 / rank
 
Normal rank
Property / Symbols used: Q11906 / qualifier
 
Defining formula:

I ⁢ ( 𝐦 ) 𝐼 𝐦 {\displaystyle{\displaystyle I(\mathbf{m})}}

I(\mathbf{m})
Property / Symbols used: Q11906 / qualifier
 
xml-id: C19.S29.XMD13.m1edec
Property / Symbols used
 
Property / Symbols used: Q11895 / rank
 
Normal rank
Property / Symbols used: Q11895 / qualifier
 
Defining formula:

d α ⁢ β subscript 𝑑 𝛼 𝛽 {\displaystyle{\displaystyle d_{\alpha\beta}}}

d_{\alpha\beta}
Property / Symbols used: Q11895 / qualifier
 
xml-id: C19.S29.XMD3.m1gdec

Latest revision as of 14:20, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:19.29.E18
No description defined

    Statements

    Defining formula
    b j q ⁢ I ⁢ ( q ⁢ 𝐞 l ) = ∑ r = 0 q ( q r ) ⁢ b l r ⁢ d l ⁢ j q - r ⁢ I ⁢ ( r ⁢ 𝐞 j ) , superscript subscript 𝑏 𝑗 𝑞 𝐼 𝑞 subscript 𝐞 𝑙 superscript subscript 𝑟 0 𝑞 binomial 𝑞 𝑟 superscript subscript 𝑏 𝑙 𝑟 superscript subscript 𝑑 𝑙 𝑗 𝑞 𝑟 𝐼 𝑟 subscript 𝐞 𝑗 {\displaystyle{\displaystyle b_{j}^{q}I(q\mathbf{e}_{l})=\sum_{r=0}^{q}% \genfrac{(}{)}{0.0pt}{}{q}{r}b_{l}^{r}d_{lj}^{q-r}I(r\mathbf{e}_{j}),}}
    0 references
    DLMF id
    DLMF:19.29.E18
    0 references
    constraint
    j , l = 1 , 2 , … , n formulae-sequence 𝑗 𝑙 1 2 … 𝑛 {\displaystyle{\displaystyle j,l=1,2,\dots,n}}
    0 references
    Symbols used
    Q10754
    Defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1adec
    0 references
    Q11855
    Defining formula
    l 𝑙 {\displaystyle{\displaystyle l}}
    xml-id
    C19.S1.XMD1.m1adec
    0 references
    Q11820
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C19.S1.XMD3.m1edec
    0 references
    Q11906
    Defining formula
    I ⁢ ( 𝐦 ) 𝐼 𝐦 {\displaystyle{\displaystyle I(\mathbf{m})}}
    xml-id
    C19.S29.XMD13.m1edec
    0 references
    Q11895
    Defining formula
    d α ⁢ β subscript 𝑑 𝛼 𝛽 {\displaystyle{\displaystyle d_{\alpha\beta}}}
    xml-id
    C19.S29.XMD3.m1gdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6646&oldid=46098"