DLMF:26.6.E8 (Q7810): Difference between revisions

From DRMF
Jump to navigation Jump to search
Changed an Item: Add constraint
Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q12183 / rank
 
Normal rank
Property / Symbols used: Q12183 / qualifier
 
Defining formula:

y 𝑦 {\displaystyle{\displaystyle y}}

y
Property / Symbols used: Q12183 / qualifier
 
xml-id: C26.S6.XMD6.m1adec

Latest revision as of 01:11, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:26.6.E8
No description defined

    Statements

    n , k = 1 N ( n , k ) x n y k = 1 - x - x y - ( 1 - x - x y ) 2 - 4 x 2 y 2 x , superscript subscript 𝑛 𝑘 1 𝑁 𝑛 𝑘 superscript 𝑥 𝑛 superscript 𝑦 𝑘 1 𝑥 𝑥 𝑦 superscript 1 𝑥 𝑥 𝑦 2 4 superscript 𝑥 2 𝑦 2 𝑥 {\displaystyle{\displaystyle\sum_{n,k=1}^{\infty}N(n,k)x^{n}y^{k}=\frac{1-x-xy% -\sqrt{(1-x-xy)^{2}-4x^{2}y}}{2x},}}
    0 references
    DLMF:26.6.E8
    0 references
    Warning: Falling back to standard tex;
    0 references
    k 𝑘 {\displaystyle{\displaystyle k}}
    C26.S1.XMD4.m1ddec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C26.S1.XMD6.m1kdec
    0 references
    N ( n , k ) 𝑁 𝑛 𝑘 {\displaystyle{\displaystyle N(n,k)}}
    C26.S6.XMD3.m1bdec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C26.S6.XMD5.m1cdec
    0 references
    y 𝑦 {\displaystyle{\displaystyle y}}
    C26.S6.XMD6.m1adec
    0 references