powseries
powsin
compute the formal power series equal to the sine of an expression
Calling Sequence
Parameters
Description
Examples
powsin(p)
p
-
formal power series, polynomial, or any function that is acceptable for power series package
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.
withpowseries:
a≔powsinx2:
b≔tpsforma,x,10
b≔x2−16x6+Ox10
c≔evalpowsinexpx:
d≔tpsformc,x,5
d≔sin1+cos1x+−sin12+cos12x2−12sin1x3+−5cos124−sin14x4+Ox5
e≔powdiffpowsinx:
f≔tpsforme,x,6
f≔1−12x2+124x4+Ox6
See Also
powcos
powexp
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