DLMF:18.34.E8 (Q6038)

From testwiki
Revision as of 12:29, 2 January 2020 by imported>Admin (Admin moved page Main Page to Verifying DLMF with Maple and Mathematica)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:18.34.E8
No description defined

    Statements

    test
    lim α → ∞ ⁡ P n ( α , a - α - 2 ) ⁡ ( 1 + α ⁢ x ) P n ( α , a - α - 2 ) ⁡ ( 1 ) = y n ⁡ ( x ; a ) . subscript → 𝛼 Jacobi-polynomial-P 𝛼 𝑎 𝛼 2 𝑛 1 𝛼 𝑥 Jacobi-polynomial-P 𝛼 𝑎 𝛼 2 𝑛 1 Bessel-polynomial-y 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle\lim_{\alpha\to\infty}\frac{P^{(\alpha,a-\alpha-2)% }_{n}\left(1+\alpha x\right)}{P^{(\alpha,a-\alpha-2)}_{n}\left(1\right)}=y_{n}% \left(x;a\right).}}
    0 references
    DLMF id
    DLMF:18.34.E8
    0 references
    Symbols used
    Bessel polynomial
    test
    y n ⁡ ( x ; a ) Bessel-polynomial-y 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle y_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}
    xml-id
    C18.S34.E1.m2afdec
    0 references
    Q11660
    test
    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.m2adec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q6038&oldid=34898"