DLMF:18.30.E4 (Q6002): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
 
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Property / Symbols defined
 
Property / Symbols defined: associated Jacobi polynomial / rank
 
Normal rank
Property / constraint
 

n = 0 , 1 , 𝑛 0 1 {\displaystyle{\displaystyle n=0,1,\dots}}

n=0,1,\dots
Property / constraint: n = 0 , 1 , 𝑛 0 1 {\displaystyle{\displaystyle n=0,1,\dots}} / rank
 
Normal rank
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.m1bdec
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.m1bdec
Property / Symbols used
 
Property / Symbols used: Q11790 / rank
 
Normal rank
Property / Symbols used: Q11790 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11790 / qualifier
 
xml-id: C18.S30.XMD1.m1bdec

Latest revision as of 13:25, 2 January 2020

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DLMF:18.30.E4
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    Statements

    P n ( α , β ) ( x ; c ) = p n ( x ; c ) , associated-Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 𝑐 subscript 𝑝 𝑛 𝑥 𝑐 {\displaystyle{\displaystyle P^{(\alpha,\beta)}_{n}\left(x;c\right)=p_{n}(x;c)% ,}}
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    DLMF:18.30.E4
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    n = 0 , 1 , 𝑛 0 1 {\displaystyle{\displaystyle n=0,1,\dots}}
    0 references
    p n ( x ) subscript 𝑝 𝑛 𝑥 {\displaystyle{\displaystyle p_{n}(x)}}
    C18.S1.XMD9.m1bdec
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    x 𝑥 {\displaystyle{\displaystyle x}}
    C18.S2.XMD3.m1bdec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C18.S30.XMD1.m1bdec
    0 references