compute the formal power series of the exponentiation of an expression - Maple Help

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powseries[powexp] - compute the formal power series of the exponentiation of an expression

Calling Sequence

powexp(p)

Parameters

p

-

formal power series, polynomial, or any function that is acceptable by the power series package functions

Description

• 

The function powexp(p) returns the formal power series that is equivalent to exp(p).

• 

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

Examples

withpowseries:

s:=powexpx:

tpsforms,x,7

1+x+12x2+16x3+124x4+1120x5+1720x6+Ox7

(1)

t:=powexpⅇx:

tpsformt,x,4

ⅇ+ⅇx+ⅇx2+56ⅇx3+Ox4

(2)

u:=powexppowdiffpowlog1+x:

tpsformu,x,5

ⅇⅇx+32ⅇx2136ⅇx3+7324ⅇx4+Ox5

(3)

See Also

powcos, powseries, powsin


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