gfun - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Discrete Mathematics : Combinatorics : gfun : gfun/listtohypergeom

gfun

  

listtohypergeom

  

find a hypergeometric generating function

  

seriestohypergeom

  

find a hypergeometric generating function

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

listtohypergeom(l, x, [typelist])

seriestohypergeom(s, [typelist])

Parameters

l

-

list

x

-

name; variable name

typelist

-

(optional) list of generating function types. The default is 'ogf','egf'. For a complete list of types, see gftypes.

s

-

series

Description

• 

The listtohypergeom(l, x, [typelist]) command computes a 2F1 hypergeometric series in x for the generating function of the expressions in l.  This generating function has its type specified by typelist, for example, ordinary (ogf) or exponential (egf). For a complete list of available generating function types, see gftypes.

  

You should specify at least 6 terms in the list l.

• 

The seriestohypergeom(s, x, [typelist]) command computes a 2F1 hypergeometric series in x for the generating function of the expressions in s.  This generating function has its type specified by typelist, for example, ordinary (ogf) or exponential (egf). For a complete list of available generating function types, see gftypes.

  

You should specify at least 6 terms in the series s.

• 

If typelist contains more than one element, these types are considered in the order that they are listed.

• 

If typelist is not specified, the default typelist, 'ogf','egf', is used.

  

The function returns a list whose first element is the hypergeometric function. The second element is the generating function type for which an equation was found.

Examples

withgfun:

l1,2,5,14,42,132,429,1430

l:=1,2,5,14,42,132,429,1430

(1)

listtohypergeoml,x

41+14x2,ogf

(2)

seriestohypergeomseries1+2x+5x2+14x3+42x4+132x5+429x6+1430x7,x,8

41+14x2,ogf

(3)

See Also

gfun

gfun/gftypes

gfun/parameters

gfun[guessgf]

 


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam