DLMF:18.14.E5 (Q5668): 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.m1acdec

Revision as of 14:34, 2 January 2020

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DLMF:18.14.E5
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    Statements

    test
    | C 2 ⁢ m ( λ ) ⁡ ( x ) | ≤ | C 2 ⁢ m ( λ ) ⁡ ( 0 ) | = | ( λ ) m m ! | , ultraspherical-Gegenbauer-polynomial 𝜆 2 𝑚 𝑥 ultraspherical-Gegenbauer-polynomial 𝜆 2 𝑚 0 Pochhammer 𝜆 𝑚 𝑚 {\displaystyle{\displaystyle|C^{(\lambda)}_{2m}\left(x\right)|\leq|C^{(\lambda% )}_{2m}\left(0\right)|=\left|\frac{{\left(\lambda\right)_{m}}}{m!}\right|,}}
    0 references
    DLMF id
    DLMF:18.14.E5
    0 references
    constraint
    - 1 2 < λ < 0 1 2 𝜆 0 {\displaystyle{\displaystyle-\tfrac{1}{2}<\lambda<0}}
    0 references
    Symbols used
    Q10759
    test
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1acdec
    0 references
     
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