Formula:5449

Digital Library of Mathematical Functions ID 14.7.E2

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \FerrersQ[0]{n}@{x}=\FerrersQ[]{n}@{x}=\frac{1}{2}\LegendrepolyP{n}@{x}\ln@{\frac{1+x}{1-x}}-W_{n-1}(x),}

Symbols List

• ${\displaystyle{\displaystyle\mathsf{Q}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}\right)}}$: Ferrers function of the second kind
• ${\displaystyle{\displaystyle P_{\NVar{n}}\left(\NVar{x}\right)}}$: Legendre polynomial
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \ln@@{\NVar{z}}} : principal branch of logarithm function
• ${\displaystyle{\displaystyle\mathsf{Q}_{\NVar{\nu}}\left(\NVar{x}\right)=\mathsf{Q}^{0}_{\nu}\left(x\right)}}$:
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
• ${\displaystyle{\displaystyle W_{n-1}(x)}}$: quantity
 

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