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prove-Contour-integral-repreasentation-p-q-1-2pii-C-1-z-p-z-q-dz-z-




Question Number 221129 by SdC355 last updated on 25/May/25
prove  Contour integral repreasentation   ((p),(q) )=(1/(2πi)) ∮_( C)  (1−z)^p z^(−q)  (dz/z)
$$\mathrm{prove} \\ $$$$\mathrm{Contour}\:\mathrm{integral}\:\mathrm{repreasentation} \\ $$$$\begin{pmatrix}{{p}}\\{{q}}\end{pmatrix}=\frac{\mathrm{1}}{\mathrm{2}\pi\boldsymbol{{i}}}\:\oint_{\:{C}} \:\left(\mathrm{1}−{z}\right)^{{p}} {z}^{−{q}} \:\frac{\mathrm{d}{z}}{{z}} \\ $$
Answered by MrGaster last updated on 25/May/25
Commented by SdC355 last updated on 25/May/25
Wow thx
$$\mathrm{Wow}\:\mathrm{thx} \\ $$

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