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

From DRMF
Jump to navigation Jump to search
Newer edit →
‎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

No description defined
Language Label Description Also known as
English
DLMF:18.7.E21
No description defined

    Statements

    Defining formula
    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 id
    DLMF:18.7.E21
    0 references
    Symbols used
    Q11660
    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)}}
    xml-id
    C18.S3.T1.t1.r2.m2akdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q5589&oldid=57011"