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

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powseries[powsin] - compute the formal power series equal to the sine of an expression

Calling Sequence

powsin(p)

Parameters

p

-

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

Description

• 

The function powsin(p) returns the formal power series that is equivalent to sinp.

• 

The powseries function evalpow accepts the form as any of powsin, Sin, or sin.

• 

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

Examples

withpowseries:

a:=powsinx2:

b:=tpsforma,x,10

b:=x216x6+Ox10

(1)

c:=evalpowsinⅇx:

d:=tpsformc,x,5

d:=sin1+cos1x+12sin1+12cos1x212sin1x3+524cos114sin1x4+Ox5

(2)

e:=powdiffpowsinx:

f:=tpsforme,x,6

f:=112x2+124x4+Ox6

(3)

See Also

powcos, powexp, powseries


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