Formula:5399

Digital Library of Mathematical Functions ID 14.3.E13

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle w_{1}(\nu,\mu,x)=\frac{2^{\mu}\EulerGamma@{\frac{1}{2}\nu+\frac{1}{2}\mu+\frac{1}{2}}}{\EulerGamma@{\frac{1}{2}\nu-\frac{1}{2}\mu+1}}\left(1-x^{2}\right)^{-\mu/2}\hyperOlverF@{-\tfrac{1}{2}\nu-\tfrac{1}{2}\mu}{\tfrac{1}{2}\nu-\tfrac{1}{2}\mu+\tfrac{1}{2}}{\tfrac{1}{2}}{x^{2}},}

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\mathbf{F}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)}}$: Olver’s hypergeometric function
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle\mu}}$: general order
• ${\displaystyle{\displaystyle\nu}}$: general degree
• ${\displaystyle{\displaystyle w_{2}}}$: function w 1 ,
 

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