composition of formal power series - Maple Help

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powseries[compose] - composition of formal power series

Calling Sequence

compose(a, b)

Parameters

a, b

-

formal power series

Description

• 

The function compose(a, b) computes and returns the formal power series ab, the composition of a and b. This power series is: a0+a1b+a2b2+a3b3+....

• 

Note that b0 must be 0 to ensure that the composition is well defined.  Otherwise, compose returns an error message.

• 

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

Examples

withpowseries:

powcreatetn=tn1n,t0=1:

powcreatevn=vn12,v0=0,v1=1:

s:=composet,v:

tpsforms,x

1+x+x2+1112x3+1924x4+157240x5+Ox6

(1)

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