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

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Property / constraint
 

α - 1 2 𝛼 1 2 {\displaystyle{\displaystyle\alpha\geq-\tfrac{1}{2}}}

\alpha\geq-\tfrac{1}{2}
Property / constraint: α - 1 2 𝛼 1 2 {\displaystyle{\displaystyle\alpha\geq-\tfrac{1}{2}}} / rank
 
Normal rank

Revision as of 17:00, 30 December 2019

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DLMF:18.14.E1
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    Statements

    | 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!},}}
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    α - 1 2 𝛼 1 2 {\displaystyle{\displaystyle\alpha\geq-\tfrac{1}{2}}}
    0 references