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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Spring 2020 • Question 11

Question

Math 6210 • Real Analysis Spring 2020 • Question 11

Let \(\wp (z)\) be the Weierstrass \(\wp \) function. Prove that there are constants \(g_2\) and \(g_3\) such that \[ \wp '(z)^2=4\wp (z)^3-g_2\wp (z)-g_3. \]

Raw LaTeX

Let \(\wp(z)\) be the Weierstrass \(\wp\) function. Prove that
there are constants \(g_2\) and \(g_3\) such that
\[
\wp'(z)^2=4\wp(z)^3-g_2\wp(z)-g_3.
\]

Topic Tags

Picard-Type Theorems and Casorati-Weierstrass