DLMF:18.7.E21 (Q5589): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q11660 / rank
 
Normal rank
Property / Symbols used: Q11660 / qualifier
 
Defining formula:

P n ( α , β ) ( x ) Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 {\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}}

\JacobipolyP{\NVar{\alpha}}{\NVar{\beta}}{\NVar{n}}@{\NVar{x}}
Property / Symbols used: Q11660 / qualifier
 
xml-id: C18.S3.T1.t1.r2.m2akdec

Revision as of 15:21, 2 January 2020

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DLMF:18.7.E21
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    Statements

    lim β P n ( α , β ) ( 1 - ( 2 x / β ) ) = L n ( α ) ( x ) . subscript 𝛽 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 2 𝑥 𝛽 Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle\lim_{\beta\to\infty}P^{(\alpha,\beta)}_{n}\left(1% -(\ifrac{2x}{\beta})\right)=L^{(\alpha)}_{n}\left(x\right).}}
    0 references
    DLMF:18.7.E21
    0 references
    P n ( α , β ) ( x ) Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 {\displaystyle{\displaystyle P^{(\NVar{\alpha},\NVar{\beta})}_{\NVar{n}}\left(% \NVar{x}\right)}}
    C18.S3.T1.t1.r2.m2akdec
    0 references