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gfun

Category Documents

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gfun/Laplace
compute the Laplace transform of a generating function

gfun/algebraicsubs
substitute an algebraic function into a holonomic one

gfun/algeqtodiffeq
compute a differential equation satisfied by an algebraic function

gfun/algeqtoseries
Puiseux expansions of algebraic functions

gfun/algfuntoalgeq
find a polynomial equation satisfied by an algebraic function

gfun/borel
compute the Borel transform of a generating function

gfun/`rec+rec`
termwise sum of two holonomic recurrences

gfun/diffeqtohomdiffeq
make a differential equation homogeneous

gfun/diffeqtorec
convert a linear differential equation into a recurrence

gfun/gftypes
describe available types of generating functions

gfun/guessgf
find a generating function from a list

gfun/`diffeq+diffeq`
determine the differential equation satisfied by the sum of two holonomic functions

gfun/holexprtodiffeq
produce a differential equation satisfied by a holonomic expression

gfun/invborel
compute the inverse Borel transform of a generating function

gfun/listtoalgeq
find an algebraic equation satisfied by a generating function

gfun/listtodiffeq
find a linear differential equation for the generating function

gfun/listtohypergeom
find a hypergeometric generating function

gfun/listtoratpoly
find a rational generating function

gfun/listtorec
find a recurrence for the elements

gfun/listtoseries
convert a list into a series

gfun/parameters
Modifiable Options within the gfun Package

gfun/poltodiffeq
determine the differential equation satisfied by a polynomial in holonomic functions

gfun/poltorec
determine the recurrence satisfied by a polynomial in holonomic sequences

gfun/ratpolytocoeff
compute the nth coefficient of a rational function

gfun/rectodiffeq
convert a linear recurrence into a differential equation

gfun/rectoproc
convert a recurrence into a function

gfun
Overview of the gfun Package

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