Formula:1017

Digital Library of Mathematical Functions ID 2.11.E21

${\displaystyle{\displaystyle R_{n}^{(2)}(z)=(-1)^{n}ie^{(\mu_{2}-\mu_{1})\pi i}e^{\lambda_{1}z}z^{\mu_{1}}\left(C_{2}\sum_{s=0}^{m-1}(-1)^{s}a_{s,1}\frac{F_{n+\mu_{1}-\mu_{2}-s}\left(ze^{-\pi i}\right)}{z^{s}}+R_{m,n}^{(2)}(z)\right),}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle F_{\NVar{p}}\left(\NVar{z}\right)}}$: terminant function
• ${\displaystyle{\displaystyle R_{n}^{(j)}(z)}}$: remainder
• ${\displaystyle{\displaystyle a_{s,j}}}$: coefficients
• ${\displaystyle{\displaystyle\lambda_{j}}}$: roots
• ${\displaystyle{\displaystyle\mu_{j}}}$: quantities
• ${\displaystyle{\displaystyle C_{1}}}$: Stokes multipliers
 

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