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Generating Functions, Z-Transforms, Laplace Transforms and the Solution of Linear Differential and Difference Equations

  • Leonard C. MaximonEmail author
Chapter

Abstract

Laplace transforms provide one of the means for solving homogeneous and inhomogeneous differential equations. Generating functions provide the corresponding transform for difference equations. A z-transform, also called a Laurent transform, is a generating function in which the variable \(\omega \) is replaced by \(z=1/\omega \).

Keywords

Difference Equation Hypergeometric Function Integration Path Partial Fraction Independent Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of PhysicsThe George Washington UniversityWashingtonUSA

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