Overview of the powseries Package - Maple Help

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Overview of the powseries Package

 

Calling Sequence

Description

List of powseries Package Commands

Examples

Calling Sequence

command(arguments)

powseries[command](arguments)

Description

• 

The powseries package contains commands to create and manipulate formal power series represented in general form.

• 

Each command in the powseries package can be accessed by using either the long form or the short form of the command name in the command calling sequence.

List of powseries Package Commands

• 

The following is a list of available commands.

compose

evalpow

inverse

multconst

multiply

negative

powadd

powcos

powcreate

powdiff

powexp

powint

powlog

powpoly

powseries

powsin

powsolve

powsqrt

quotient

reversion

subtract

tpsform

 

 

• 

Other trigonometric functions, such as tan(x), sec(x), and the hyperbolic functions, such as sinh(x), can be generated through the powseries[evalpow] command.

• 

To display the help page for a particular powseries command, see Getting Help with a Command in a Package.

• 

For more information on the general representation of formal power series, see powseries[powseries].

Examples

apowseries[powexp]x:

bpowseries[tpsform]a,x,5

b:=1+x+12x2+16x3+124x4+Ox5

(1)

withpowseries:

cpowaddpowpoly1+x2+x,x,powlog1+x:

dtpsformc,x,6

d:=1+2x+12x2+13x314x4+15x5+Ox6

(2)

eevalpowsinhx:

tpsforme,x,5

x+16x3+Ox5

(3)

gtpsformpowdiffpowsinx,x,6

g:=112x2+124x4+Ox6

(4)

hevalpowTanx:

ktpsformnegativeh,x,5

k:=x13x3+Ox5

(5)

See Also

asympt

series

UsingPackages

with

 


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