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DLMF:19.14.E6 - MaRDI portal

DLMF:19.14.E6 (Q7007)

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DLMF:19.14.E6
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    Statements

    DLMF defining formula
    ( x 2 - y 2 ) ⁢ U = x ⁢ ( a 1 + b 1 ⁢ y 2 ) ⁢ ( a 2 + b 2 ⁢ y 2 ) + y ⁢ ( a 1 + b 1 ⁢ x 2 ) ⁢ ( a 2 + b 2 ⁢ x 2 ) . superscript 𝑥 2 superscript 𝑦 2 𝑈 𝑥 subscript 𝑎 1 subscript 𝑏 1 superscript 𝑦 2 subscript 𝑎 2 subscript 𝑏 2 superscript 𝑦 2 𝑦 subscript 𝑎 1 subscript 𝑏 1 superscript 𝑥 2 subscript 𝑎 2 subscript 𝑏 2 superscript 𝑥 2 {\displaystyle{\displaystyle(x^{2}-y^{2})U=x\sqrt{(a_{1}+b_{1}y^{2})(a_{2}+b_{% 2}y^{2})}+y\sqrt{(a_{1}+b_{1}x^{2})(a_{2}+b_{2}x^{2})}.}}
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