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

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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

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DLMF:26.6.E8
No description defined

    Statements

    Defining formula
    ∑ 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 id
    DLMF:26.6.E8
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q12174
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C26.S1.XMD4.m1ddec
    0 references
    Q12172
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C26.S1.XMD6.m1kdec
    0 references
    Narayana number (locally)
    Defining formula
    N ⁢ ( n , k ) 𝑁 𝑛 𝑘 {\displaystyle{\displaystyle N(n,k)}}
    xml-id
    C26.S6.XMD3.m1bdec
    0 references
    Q12182
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C26.S6.XMD5.m1cdec
    0 references
    Q12183
    Defining formula
    y 𝑦 {\displaystyle{\displaystyle y}}
    xml-id
    C26.S6.XMD6.m1adec
    0 references
     
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