Laplace - Maple Help
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gfun

  

Laplace

  

compute the Laplace transform of a generating function

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

Laplace(expr, a(n), t)

Parameters

expr

-

linear recurrence with polynomial coefficients

a

-

name; recurrence name

n

-

name; index of the recurrence a

t

-

(optional) name; 'diffeq'

Description

• 

The Laplace(expr, a(n)) command computes the Laplace transform of a generating function.

  

If  is the sequence of numbers defined by the recurrence expr, the Laplace function computes the recurrence for the numbers .

• 

If t is specified as 'diffeq', expr is considered a linear differential equation with polynomial coefficients. The function returns a linear differential equation satisfied by its Laplace transform.

• 

The invborel command can be used as a synonym of Laplace, that is, the invborel(expr, a(n)) command can be used instead.

Examples

(1)

(2)

(3)

(4)

See Also

gfun

gfun[borel]

gfun[invborel]

gfun[rectodiffeq]

 


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