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 ...

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 ...

We consider boundary integral equations of the first kind with logarithmic kernels on smooth closed or open contours in R2. Instead of solving the first kind equations directly, we propose a fully ...