The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

The first forty-one coefficients of a continued fraction for $\ln \Gamma(z) + z - (z - 1/2) \ln z - \ln \surd \overline {2\pi}$, are given. The computation, based on Wall's algorithm for converting a ...

Mathematical methods and special functions have long served as the backbone of modern theoretical physics and applied mathematics. These tools enable researchers to solve complex differential ...