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

  • Leonard C. MaximonEmail author


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 \(z=1/\omega \).


Difference Equation Hypergeometric Function Integration Path Partial Fraction Independent Solution 
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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Department of PhysicsThe George Washington UniversityWashingtonUSA

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