compute the formal power series equal to the cosine of an expression - Maple Help

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powseries[powcos] - compute the formal power series equal to the cosine of an expression

Calling Sequence

powcos(p)

Parameters

p

-

formal power series, polynomial, or any function that is acceptable for power series package

Description

• 

The function powcos(p) returns the formal power series that is equivalent to cos(p).

• 

The powseries function evalpow accepts the form in either powcos, Cos, or cos.

• 

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

Examples

withpowseries:

a:=powcosx+1:

b:=tpsforma,x,5

b:=cos1sin1x12cos1x2+16sin1x3+124cos1x4+Ox5

(1)

c:=evalpowCoslog1+x:

d:=tpsformc,x,5

d:=112x2+12x3512x4+Ox5

(2)

e:=powdiffpowcosx:

f:=tpsforme,x,6

f:=x+16x31120x5+Ox6

(3)

g:=evalpowtanx2:

h:=tpsformg,x,10

h:=x2+13x6+Ox10

(4)

See Also

powexp, powseries, powsin


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