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powseries

  

powlog

  

logarithm of an expression

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

powlog(p)

Parameters

p

-

either formal power series, or polynomial, or function that is acceptable for power series function evalpow

Description

• 

The function powlog(p) returns the formal power series that is the natural logarithm of p.

• 

The power series p must have a nonzero first term (p00) for its logarithm to be well-defined.

• 

The command with(powseries,powlog) allows the use of the abbreviated form of this command.

Examples

withpowseries:

tpowpoly1+x,x:

spowlogt:

tpsforms,x,7

x12x2+13x314x4+15x516x6+Ox7

(1)

upowlogpowdiffpowexpx:

tpsformu,x,6

x+Ox6

(2)

vpowlogpowaddpowpoly1+x,x,powexpx:

tpsformv,x,6

ln2+x14x2+16x3332x4+7120x5+Ox6

(3)

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