Let \(\wp (z)\) be the Weierstrass \(\wp \) function. Prove that \[ \wp (z+u)+\wp (z)+\wp (u) =\frac 14\left (\frac {\wp '(z)-\wp '(u)}{\wp (z)-\wp (u)}\right )^2. \]
Question
Math 6210 • Real Analysis
Fall 2016 • Question 7
Question
Fall 2016 • Question 7
Let \(\wp (z)\) be the Weierstrass \(\wp \) function. Prove that \[ \wp (z+u)+\wp (z)+\wp (u) =\frac 14\left (\frac {\wp '(z)-\wp '(u)}{\wp (z)-\wp (u)}\right )^2. \]