Friday, July 31, 2020
Power series expansion for some functions
These power series arise primarily in analysis, but also occur in combinatorics as generating functions (a kind of formal power series) and in electrical engineering (under the name of the Z-transform). The familiar decimal notation for real numbers can also be viewed as an example of a power series, with integer coefficients, but with the argument x fixed at 1⁄10. In number theory, the concept of p-adic numbers is also closely related to that of a power series.
