general evaluator for expressions, which can be formal power series, polynomials, or functions - Maple Help

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powseries[evalpow] - general evaluator for expressions, which can be formal power series, polynomials, or functions

Calling Sequence

evalpow(expr)

Parameters

expr

-

any arithmetic expression involving formal power series, polynomials, or functions that is acceptable for power series package

Description

• 

The function evalpow(expr) evaluates the arithmetic expression expr and then returns an unnamed power series.

• 

The following operators can be used: +, , , /, and ^.

• 

Also, functions may be composed with each other. For example, fg can be used.

• 

The other functions that can be used in evalpow are:

powexp

powinv

powlog

powneg

powrev (reversion)

powdiff (first derivative)

powint (first integral)

powquo (quotient)

powsub (subtract)

powsin

powcos

powtan

powsec

powcsc

powcot

powsinh

powcosh

powtanh

powsech

powcsch

powcoth

powsqrt(square root)

powadd

multiply

• 

Note that the evalpow also accepts the standard forms, or the inner MAPLE forms for some of the above functions. For example, exp, or Exp for powexp, Diff for powdiff, but NOT diff.

• 

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

Examples

withpowseries:

powcreatefn=fn1n,f0=1:

powcreategn=gn12,g0=0,g1=1:

powcreatehn=hn15,h0=1:

k:=evalpowf3+gpowquoh,f:

tpsformk,x,5

245x+23350x2+72731500x3+5217115000x4+Ox5

(1)

b:=evalpowDiffpowlog1+x:

c:=tpsformb,x,6

c:=1x+x2x3+x4x5+Ox6

(2)

e:=evalpowTan1+x:

f:=tpsforme,x,3

f:=sin1cos1+cos1+sin12cos1cos1x+sin1cos1+sin12cos1cos12x2+Ox3

(3)

g:=tpsformevalpowsinhx,x,8

g:=x+16x3+1120x5+15040x7+Ox8

(4)

h:=evalpowpowaddpowexpx,powpoly1+x,x,powlog1+x:

m:=tpsformh,x,8

m:=2+3x+12x3524x4+524x5119720x6+103720x7+Ox8

(5)

See Also

powseries, powseries[inverse], powseries[powadd], powseries[powcreate], powseries[powexp], powseries[powsin], powseries[reversion]


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