DLMF:14.17.E4

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Math Formula Information

Formula: Failed to parse (unknown function "\FerrersP"): {\displaystyle \int\frac{x}{\left(1-x^{2}\right)^{3/2}}\FerrersP[\mu]{\nu}@{x}\FerrersQ[\mu]{\nu}@{x}\diff{x}=\frac{1}{\left(1-4\mu^{2}\right)\left(1-x^{2}\right)^{1/2}}\left((1-2\mu^{2}+2\nu(\nu+1))\FerrersP[\mu]{\nu}@{x}\FerrersQ[\mu]{\nu}@{x}+(2\nu+1)(\mu-\nu-1)x(\FerrersP[\mu]{\nu}@{x}\FerrersQ[\mu]{\nu+1}@{x}+\FerrersP[\mu]{\nu+1}@{x}\FerrersQ[\mu]{\nu}@{x})+2(\mu-\nu-1)^{2}\FerrersP[\mu]{\nu+1}@{x}\FerrersQ[\mu]{\nu+1}@{x}\right),}

Name: DLMF:14.17.E4

Description:

Data Source

https://lct.wmflabs.org/w/index.php?title=Special:EntityPage/Q4885