DLMF:31.4.E2 (Q9019): Difference between revisions

From DRMF
Jump to navigation Jump to search
‎Created a new Item: Wikidata Toolkit example test item creation
 
‎Changed an Item: Add constraint
 
(5 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q12458 / rank
 
Normal rank
Property / Symbols used: Q12458 / qualifier
 
Defining formula:

γ 𝛾 {\displaystyle{\displaystyle\gamma}}

\gamma
Property / Symbols used: Q12458 / qualifier
 
xml-id: C31.S1.XMD10.m1adec
Property / Symbols used
 
Property / Symbols used: Q12461 / rank
 
Normal rank
Property / Symbols used: Q12461 / qualifier
 
Defining formula:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q12461 / qualifier
 
xml-id: C31.S1.XMD6.m1adec
Property / Symbols used
 
Property / Symbols used: Q12462 / rank
 
Normal rank
Property / Symbols used: Q12462 / qualifier
 
Defining formula:

q 𝑞 {\displaystyle{\displaystyle q}}

q
Property / Symbols used: Q12462 / qualifier
 
xml-id: C31.S1.XMD7.m1adec
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 13:31, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:31.4.E2
No description defined

    Statements

    Defining formula
    q = a ⁢ γ ⁢ P 1 Q 1 + q - R 1 ⁢ P 2 Q 2 + q - R 2 ⁢ P 3 Q 3 + q - ⋯ , 𝑞 continued-fraction 𝑎 𝛾 subscript 𝑃 1 subscript 𝑄 1 𝑞 continued-fraction subscript 𝑅 1 subscript 𝑃 2 subscript 𝑄 2 𝑞 continued-fraction subscript 𝑅 2 subscript 𝑃 3 subscript 𝑄 3 𝑞 ⋯ {\displaystyle{\displaystyle q=\cfrac{a\gamma P_{1}}{Q_{1}+q-\cfrac{R_{1}P_{2}% }{Q_{2}+q-\cfrac{R_{2}P_{3}}{Q_{3}+q-\cdots}}},}}
    0 references
    DLMF id
    DLMF:31.4.E2
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q12458
    Defining formula
    γ 𝛾 {\displaystyle{\displaystyle\gamma}}
    xml-id
    C31.S1.XMD10.m1adec
    0 references
    Q12461
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C31.S1.XMD6.m1adec
    0 references
    Q12462
    Defining formula
    q 𝑞 {\displaystyle{\displaystyle q}}
    xml-id
    C31.S1.XMD7.m1adec
    0 references
    Q12479
    Defining formula
    P j subscript 𝑃 𝑗 {\displaystyle{\displaystyle P_{j}}}
    xml-id
    C31.S3.XMD2.m1dec
    0 references
    Q12480
    Defining formula
    Q j subscript 𝑄 𝑗 {\displaystyle{\displaystyle Q_{j}}}
    xml-id
    C31.S3.XMD3.m1dec
    0 references
    Q12481
    Defining formula
    R j subscript 𝑅 𝑗 {\displaystyle{\displaystyle R_{j}}}
    xml-id
    C31.S3.XMD4.m1dec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q9019&oldid=37209"