Description

• The procedures listtoratpoly and seriestoratpoly compute a rational function in x for the generating function of the expressions in l or s, this generating function being of one of the types specified by typelist for example, ordinary (ogf) or exponential (egf). For a full list of available choices see gftypes).
• These functions are frontends to convert[ratpoly] which performs the actual computation.
• If typelist contains more than one element, these types are tried in order. If typelist is not provided, the default optionsgf, initially ['ogf'], is used.
• The search is controlled by the options maxdegcoeffs, checkterms, mode, and modulo. For more information on these options, see gfun[parameters].
• The output is a list whose second element is the type for which a solution was found, and whose first element is the rational function.
• One should give as many terms as possible in the list l or the series s.

Examples

If the input is the first few elements of the Fibonacci sequence, the the output is the generating series for the Fibonacci numbers.

> with(gfun):
l:=[1,1,2,3,5,8,13];

> listtoratpoly(l,x);

> seriestoratpoly(series(1+x+2*x^2*2!+3*x^3*3!+5*x^4*4!+8*x^5*5!+13*x^6*6!,x,8),['egf']);

See Also

gfun, gfun[parameters], convert[ratpoly]