Maple Professional
Maple Academic
Maple Student Edition
Maple Personal Edition
Maple Player
Maple Player for iPad
MapleSim Professional
MapleSim Academic
Maple T.A. - Testing & Assessment
Maple T.A. MAA Placement Test Suite
Möbius - Online Courseware
Machine Design / Industrial Automation
Aerospace
Vehicle Engineering
Robotics
Power Industries
System Simulation and Analysis
Model development for HIL
Plant Modeling for Control Design
Robotics/Motion Control/Mechatronics
Other Application Areas
Mathematics Education
Engineering Education
High Schools & Two-Year Colleges
Testing & Assessment
Students
Financial Modeling
Operations Research
High Performance Computing
Physics
Live Webinars
Recorded Webinars
Upcoming Events
MaplePrimes
Maplesoft Blog
Maplesoft Membership
Maple Ambassador Program
MapleCloud
Technical Whitepapers
E-Mail Newsletters
Maple Books
Math Matters
Application Center
MapleSim Model Gallery
User Case Studies
Exploring Engineering Fundamentals
Teaching Concepts with Maple
Maplesoft Welcome Center
Teacher Resource Center
Student Help Center
gfun[Laplace] - compute the Laplace transform of a generating function
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
See Also
gfun, gfun[borel], gfun[invborel], gfun[rectodiffeq]
Download Help Document