DLMF:18.14.E1 (Q5664): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10759 / rank
 
Normal rank
Property / Symbols used: Q10759 / qualifier
 
test:

( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

\Pochhammersym{\NVar{a}}{\NVar{n}}
Property / Symbols used: Q10759 / qualifier
 
xml-id: C5.S2.SS3.m1adec

Revision as of 14:33, 2 January 2020

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DLMF:18.14.E1
No description defined

    Statements

    test
    | P n ( α , β ) ⁡ ( x ) | ≤ P n ( α , β ) ⁡ ( 1 ) = ( α + 1 ) n n ! , Jacobi-polynomial-P 𝛼 𝛽 𝑛 𝑥 Jacobi-polynomial-P 𝛼 𝛽 𝑛 1 Pochhammer 𝛼 1 𝑛 𝑛 {\displaystyle{\displaystyle|P^{(\alpha,\beta)}_{n}\left(x\right)|\leq P^{(% \alpha,\beta)}_{n}\left(1\right)=\frac{{\left(\alpha+1\right)_{n}}}{n!},}}
    0 references
    DLMF id
    DLMF:18.14.E1
    0 references
    constraint
    α ≥ - 1 2 𝛼 1 2 {\displaystyle{\displaystyle\alpha\geq-\tfrac{1}{2}}}
    0 references
    Symbols used
    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
    Q10759
    test
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1adec
    0 references
     
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