DLMF:18.37.E2 (Q6050): Difference between revisions

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Property / constraint
 

n 𝑛 {\displaystyle{\displaystyle n\neq\ell}}

n\neq\ell
Property / constraint: n 𝑛 {\displaystyle{\displaystyle n\neq\ell}} / rank
 
Normal rank

Revision as of 17:04, 30 December 2019

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DLMF:18.37.E2
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    Statements

    x 2 + y 2 < 1 R m , n ( α ) ( x + i y ) R j , ( α ) ( x - i y ) ( 1 - x 2 - y 2 ) α d x d y = 0 , subscript double-integral superscript 𝑥 2 superscript 𝑦 2 1 disk-orthogonal-polynomial-R 𝛼 𝑚 𝑛 𝑥 imaginary-unit 𝑦 disk-orthogonal-polynomial-R 𝛼 𝑗 𝑥 imaginary-unit 𝑦 superscript 1 superscript 𝑥 2 superscript 𝑦 2 𝛼 𝑥 𝑦 0 {\displaystyle{\displaystyle\iint\limits_{x^{2}+y^{2}<1}R^{(\alpha)}_{m,n}% \left(x+\mathrm{i}y\right)R^{(\alpha)}_{j,\ell}\left(x-\mathrm{i}y\right)\*(1-% x^{2}-y^{2})^{\alpha}\mathrm{d}x\mathrm{d}y=0,}}
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    n 𝑛 {\displaystyle{\displaystyle n\neq\ell}}
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