The Rogers-Ramanujan functions satisfy some basic functional equations. We prove and use them to produce some identities that Ramanujan recorded. Journal Information Rocky Mountain Journal of ...
Consider solving the Dirichlet problem $$\Delta u(P) = 0, P \in \mathbb R^2\backslash S,$$ $$u(P) = h(P),\quad P \in S,$$ $$\sup|u(P)| < \infty,$$ $$P \in \Bbb{R}^2 ...
Mathematical Background: We expect that the student is comfortable with basic mathematics at the level of a U.S. first-year college STEM student. This includes basic notions such as sets and functions ...
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