DLMF:14.7.E20 (Q4772)

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DLMF:14.7.E20
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    n = 0 𝖰 n ( x ) h n = 1 ( 1 - 2 x h + h 2 ) 1 / 2 ln ( x - h + ( 1 - 2 x h + h 2 ) 1 / 2 ( 1 - x 2 ) 1 / 2 ) . superscript subscript 𝑛 0 shorthand-Ferrers-Legendre-Q-first-kind 𝑛 𝑥 superscript 𝑛 1 superscript 1 2 𝑥 superscript 2 1 2 𝑥 superscript 1 2 𝑥 superscript 2 1 2 superscript 1 superscript 𝑥 2 1 2 {\displaystyle{\displaystyle\sum_{n=0}^{\infty}\mathsf{Q}_{n}\left(x\right)h^{% n}=\frac{1}{\left(1-2xh+h^{2}\right)^{1/2}}\*\ln\left(\frac{x-h+\left(1-2xh+h^% {2}\right)^{1/2}}{\left(1-x^{2}\right)^{1/2}}\right).}}
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    DLMF:14.7.E20
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    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2abdec
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