Formula:5534

Digital Library of Mathematical Functions ID 14.13.E1

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \FerrersP[\mu]{\nu}@{\cos@@{\theta}}=\frac{2^{\mu+1}(\sin@@{\theta})^{\mu}}{\pi^{1/2}}\*\sum_{k=0}^{\infty}\frac{\EulerGamma@{\nu+\mu+k+1}}{\EulerGamma@{\nu+k+\frac{3}{2}}}\frac{\Pochhammersym{\mu+\frac{1}{2}}{k}}{k!}\*\sin@{(\nu+\mu+2k+1)\theta},}

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle\mathsf{P}^{\NVar{\mu}}_{\NVar{\nu}}\left(\NVar{x}\right)}}$: Ferrers function of the first kind
• ${\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}$:
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \cpi} : the ratio of the circumference of a circle to its diameter
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \cos@@{\NVar{z}}} : cosine function
• ${\displaystyle{\displaystyle!}}$:
• Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle \sin@@{\NVar{z}}} : sine function
• ${\displaystyle{\displaystyle\mu}}$: general order
• ${\displaystyle{\displaystyle\nu}}$: general degree
• ${\displaystyle{\displaystyle 0<\theta<\pi}}$: variable
 

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