Working with Power Series
Axiom has very sophisticated facilities for working with power series.
Infinite series are represented by a list of the coefficients that have
already been determined, together with a function for computing the
additional coefficients if needed. The system command that determines how
many terms of a series is displayed is
)set streams calculate
By default Axiom will display ten terms. Series can be created from
expressions, from functions for the series coefficients, and from applications
of operations on existing series. The most general function for creating
a series is called series, although you can
also use
taylor,
laurent, and
puiseux in situations where you know what
kind of exponents are involved.
For information about solving differential equations in terms of power
series see
Power Series Solutions of Differential Equations
