Formula:523

Digital Library of Mathematical Functions ID 1.15.E12

${\displaystyle{\displaystyle P(r,\theta)=\frac{1-r^{2}}{1-2r\cos\theta+r^{2}}=\sum^{\infty}_{n=-\infty}r^{|n|}e^{in\theta},}}$

Constraint(s)

${\displaystyle{\displaystyle 0\leq r<1}}$

Symbols List

• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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