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powseries

  

powsqrt

  

square root of an expression as a power series

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

powsqrt(p)

Parameters

p

-

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

Description

• 

The function powsqrt(p) returns the formal power series that is the square root of p.

• 

The power series of p must have a nonzero first term (p00) for its logarithm to be well-defined.

• 

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

Examples

withpowseries:

spowsqrtx2+x+1:

tpsforms,x,7

1+12x+38x2316x3+3128x4+15256x5571024x6+Ox7

(1)

tpowsqrtⅇx:

tpsformt,x,5

1+12x+18x2+148x3+1384x4+Ox5

(2)

tpsformpowsqrtpowdiffpowlog1+x,x,5

112x+38x2516x3+35128x4+Ox5

(3)

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