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powseries

  

tpsform

  

truncated power series form of a formal series

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

tpsform(p, var, order)

Parameters

p

-

name of a formal power series

var

-

variable to be used in the truncated series

order

-

(optional) number of terms to which resulting series should be accurate (this defaults to the global variable Order)

Description

• 

The function tpsform(p, var, order) creates a truncated power series (a series data structure) in var.  This truncated series is equal to p up to, but not including, the term containing x^order.

• 

In some cases tpsform can determine when the series is exact and so it drops the Oxorder term. Formal power series created using powpoly fall into this category.

• 

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

Examples

withpowseries:

powcreatetn=tn1n,t0=1:

t_k

t_k1_k

(1)

tpsformt,x,6

1+x+12x2+16x3+124x4+1120x5+Ox6

(2)

See Also

type[series]

 


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