Formula:4288

Digital Library of Mathematical Functions ID 10.40.E13

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle R_{\ell}(\nu,z)=(-1)^{\ell}2\cos@{\nu\pi}\*\left(\sum_{k=0}^{m-1}\frac{a_{k}(\nu)}{z^{k}}\scterminant{\ell-k}@{2z}+R_{m,\ell}(\nu,z)\right),}

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle G_{\NVar{p}}\left(\NVar{z}\right)}}$: rescaled terminant function
• ${\displaystyle{\displaystyle m}}$: integer
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
• ${\displaystyle{\displaystyle a_{k}(\nu)}}$: expansion (locally)
• ${\displaystyle{\displaystyle R_{m,\ell}(\nu,z)}}$: remainder (locally)
 

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