ExpressionToUnivariatePowerSeries(R, FE)ΒΆ

expr2ups.spad line 1

This package provides functions to convert functional expressions to power series.

laurent: (FE, Equation FE) -> Any
laurent(f, x = a) expands the expression f as a Laurent series in powers of (x - a).
laurent: (FE, Equation FE, Integer) -> Any
laurent(f, x = a, n) expands the expression f as a Laurent series in powers of (x - a); terms will be computed up to order at least n.
laurent: (FE, Integer) -> Any
laurent(f, n) returns a Laurent expansion of the expression f. Note: f should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least n.
laurent: FE -> Any
laurent(f) returns a Laurent expansion of the expression f. Note: f should have only one variable; the series will be expanded in powers of that variable.
laurent: Symbol -> Any
laurent(x) returns x viewed as a Laurent series.
puiseux: (FE, Equation FE) -> Any
puiseux(f, x = a) expands the expression f as a Puiseux series in powers of (x - a).
puiseux: (FE, Equation FE, Fraction Integer) -> Any
puiseux(f, x = a, n) expands the expression f as a Puiseux series in powers of (x - a); terms will be computed up to order at least n.
puiseux: (FE, Fraction Integer) -> Any
puiseux(f, n) returns a Puiseux expansion of the expression f. Note: f should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least n.
puiseux: FE -> Any
puiseux(f) returns a Puiseux expansion of the expression f. Note: f should have only one variable; the series will be expanded in powers of that variable.
puiseux: Symbol -> Any
puiseux(x) returns x viewed as a Puiseux series.
series: (FE, Equation FE) -> Any
series(f, x = a) expands the expression f as a series in powers of (x - a).
series: (FE, Equation FE, Fraction Integer) -> Any
series(f, x = a, n) expands the expression f as a series in powers of (x - a); terms will be computed up to order at least n.
series: (FE, Fraction Integer) -> Any
series(f, n) returns a series expansion of the expression f. Note: f should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least n.
series: FE -> Any
series(f) returns a series expansion of the expression f. Note: f should have only one variable; the series will be expanded in powers of that variable.
series: Symbol -> Any
series(x) returns x viewed as a series.
taylor: (FE, Equation FE) -> Any
taylor(f, x = a) expands the expression f as a Taylor series in powers of (x - a).
taylor: (FE, Equation FE, NonNegativeInteger) -> Any
taylor(f, x = a) expands the expression f as a Taylor series in powers of (x - a); terms will be computed up to order at least n.
taylor: (FE, NonNegativeInteger) -> Any
taylor(f, n) returns a Taylor expansion of the expression f. Note: f should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least n.
taylor: FE -> Any
taylor(f) returns a Taylor expansion of the expression f. Note: f should have only one variable; the series will be expanded in powers of that variable.
taylor: Symbol -> Any
taylor(x) returns x viewed as a Taylor series.