DLMF:31.3.E3 (Q9005): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(2 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12479 / rank
 
Normal rank
Property / Symbols used: Q12479 / qualifier
 
Defining formula:

P j subscript 𝑃 𝑗 {\displaystyle{\displaystyle P_{j}}}

P_{j}
Property / Symbols used: Q12479 / qualifier
 
xml-id: C31.S3.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q12480 / rank
 
Normal rank
Property / Symbols used: Q12480 / qualifier
 
Defining formula:

Q j subscript 𝑄 𝑗 {\displaystyle{\displaystyle Q_{j}}}

Q_{j}
Property / Symbols used: Q12480 / qualifier
 
xml-id: C31.S3.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q12481 / rank
 
Normal rank
Property / Symbols used: Q12481 / qualifier
 
Defining formula:

R j subscript 𝑅 𝑗 {\displaystyle{\displaystyle R_{j}}}

R_{j}
Property / Symbols used: Q12481 / qualifier
 
xml-id: C31.S3.XMD4.m1dec

Latest revision as of 13:27, 2 January 2020

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DLMF:31.3.E3
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    Statements

    R j c j + 1 - ( Q j + q ) c j + P j c j - 1 = 0 , subscript 𝑅 𝑗 subscript 𝑐 𝑗 1 subscript 𝑄 𝑗 𝑞 subscript 𝑐 𝑗 subscript 𝑃 𝑗 subscript 𝑐 𝑗 1 0 {\displaystyle{\displaystyle R_{j}c_{j+1}-(Q_{j}+q)c_{j}+P_{j}c_{j-1}=0,}}
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    DLMF:31.3.E3
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    Warning: Falling back to standard tex;
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    j 1 𝑗 1 {\displaystyle{\displaystyle j\geq 1}}
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    j 𝑗 {\displaystyle{\displaystyle j}}
    C31.S1.XMD2.m1adec
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    q 𝑞 {\displaystyle{\displaystyle q}}
    C31.S1.XMD7.m1bdec
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    c j subscript 𝑐 𝑗 {\displaystyle{\displaystyle c_{j}}}
    C31.S3.XMD1.m1bdec
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    P j subscript 𝑃 𝑗 {\displaystyle{\displaystyle P_{j}}}
    C31.S3.XMD2.m1dec
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    Q j subscript 𝑄 𝑗 {\displaystyle{\displaystyle Q_{j}}}
    C31.S3.XMD3.m1dec
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    R j subscript 𝑅 𝑗 {\displaystyle{\displaystyle R_{j}}}
    C31.S3.XMD4.m1dec
    0 references