DLMF:18.27.E1 (Q5952): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11726 / rank
 
Normal rank
Property / Symbols used: Q11726 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11726 / qualifier
 
xml-id: C18.S1.XMD6.m1dec
Property / Symbols used
 
Property / Symbols used: Q11731 / rank
 
Normal rank
Property / Symbols used: Q11731 / qualifier
 
Defining formula:

p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}

p_{n}(x)
Property / Symbols used: Q11731 / qualifier
 
xml-id: C18.S1.XMD9.m1dec
Property / Symbols used
 
Property / Symbols used: Q11727 / rank
 
Normal rank
Property / Symbols used: Q11727 / qualifier
 
Defining formula:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q11727 / qualifier
 
xml-id: C18.S2.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11786 / rank
 
Normal rank
Property / Symbols used: Q11786 / qualifier
 
Defining formula:

A ⁢ ( x ) 𝐴 𝑥 {\displaystyle{\displaystyle A(x)}}

A(x)
Property / Symbols used: Q11786 / qualifier
 
xml-id: C18.S27.XMD1.m1dec
Property / Symbols used
 
Property / Symbols used: Q11787 / rank
 
Normal rank
Property / Symbols used: Q11787 / qualifier
 
Defining formula:

C ⁢ ( x ) 𝐶 𝑥 {\displaystyle{\displaystyle C(x)}}

C(x)
Property / Symbols used: Q11787 / qualifier
 
xml-id: C18.S27.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q11788 / rank
 
Normal rank
Property / Symbols used: Q11788 / qualifier
 
Defining formula:

C ⁢ ( x ) 𝐶 𝑥 {\displaystyle{\displaystyle C(x)}}

C(x)
Property / Symbols used: Q11788 / qualifier
 
xml-id: C18.S27.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q11789 / rank
 
Normal rank
Property / Symbols used: Q11789 / qualifier
 
Defining formula:

λ n subscript 𝜆 𝑛 {\displaystyle{\displaystyle\lambda_{n}}}

\lambda_{n}
Property / Symbols used: Q11789 / qualifier
 
xml-id: C18.S27.XMD4.m1dec

Latest revision as of 01:47, 2 January 2020

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DLMF:18.27.E1
No description defined

    Statements

    Defining formula
    A ⁢ ( x ) ⁢ p n ⁢ ( q ⁢ x ) + B ⁢ ( x ) ⁢ p n ⁢ ( x ) + C ⁢ ( x ) ⁢ p n ⁢ ( q - 1 ⁢ x ) = λ n ⁢ p n ⁢ ( x ) , 𝐴 𝑥 subscript 𝑝 𝑛 𝑞 𝑥 𝐵 𝑥 subscript 𝑝 𝑛 𝑥 𝐶 𝑥 subscript 𝑝 𝑛 superscript 𝑞 1 𝑥 subscript 𝜆 𝑛 subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle A(x)p_{n}(qx)+B(x)p_{n}(x)+C(x)p_{n}(q^{-1}x)=% \lambda_{n}p_{n}(x),}}
    0 references
    DLMF id
    DLMF:18.27.E1
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q11728
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C18.S1.XMD3.m1dec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1dec
    0 references
    Q11731
    Defining formula
    p n ⁢ ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    xml-id
    C18.S1.XMD9.m1dec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1dec
    0 references
    Q11786
    Defining formula
    A ⁢ ( x ) 𝐴 𝑥 {\displaystyle{\displaystyle A(x)}}
    xml-id
    C18.S27.XMD1.m1dec
    0 references
    Q11787
    Defining formula
    C ⁢ ( x ) 𝐶 𝑥 {\displaystyle{\displaystyle C(x)}}
    xml-id
    C18.S27.XMD2.m1dec
    0 references
    Q11788
    Defining formula
    C ⁢ ( x ) 𝐶 𝑥 {\displaystyle{\displaystyle C(x)}}
    xml-id
    C18.S27.XMD3.m1dec
    0 references
    Q11789
    Defining formula
    λ n subscript 𝜆 𝑛 {\displaystyle{\displaystyle\lambda_{n}}}
    xml-id
    C18.S27.XMD4.m1dec
    0 references
     
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