Formula:3528

Digital Library of Mathematical Functions ID 9.7.E21

${\displaystyle{\displaystyle S_{n}(z)=(-1)^{n-1}\sum_{k=0}^{m-1}(-1)^{k}v_{k}\frac{G_{n-k}\left(2\zeta\right)}{\zeta^{k}}+S_{m,n}(z),}}$

Symbols List

• ${\displaystyle{\displaystyle G_{\NVar{p}}\left(\NVar{z}\right)}}$: rescaled terminant function
• ${\displaystyle{\displaystyle k}}$: nonnegative integer
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle\zeta}}$: change of variable (locally)
• ${\displaystyle{\displaystyle m}}$: index
• ${\displaystyle{\displaystyle n}}$: index
• ${\displaystyle{\displaystyle v_{s}}}$: expansion coefficient
 

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