Some Absolutely Monotonic and Completely Monotonic Functions.
Technical summary rept.,
WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
The functions 1-rsup-2 lambda1-2xr r squaredsup-lambda are shown to be absolutely monotonic, or equivalently, that their power series have nonnegative coefficients for -1 or x or 1. One consequence is a simple proof of Kogbetliantzs theorem on positive Cesaro summability for ultraspherical series. Author
- Numerical Mathematics