Laplace transform and Z-transform: unification and extension

By Martin J. Bohner, Allan Peterson. 2002

58 citations recorded by the source corpus.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/924d780bc94837640c89ed30ed446c921e9f9eb8

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Martin J. Bohner
2. John M. Davis
3. Gusein Sh. Guseinov
4. Billy Jackson
5. Samir H. Saker
6. Allan Peterson
7. Ravi P. Agarwal
8. Douglas R. Anderson

In Control and Systems Engineering

1. Martin J. Bohner
2. Gusein Sh. Guseinov
3. John M. Davis

In Modeling and Simulation

1. John M. Davis
2. Martin J. Bohner
3. Gusein Sh. Guseinov
4. Billy Jackson
5. Samir H. Saker
6. Ravi P. Agarwal
7. Allan Peterson
8. Lynn Erbe

Citations in the corpus

• Nonoscillation and Oscillation Theory for Functional Differential Equations (2004, unknown): “Other interesting references concerning the time scales calculus contain [4, 5, 6, 7, 12, 13, 14, 15, 16, 17, 18, 19, 20, 26, 27, 32, 38, 39, 45, 47, 48, 49, 50, 51, 52, 54, 56, 69, 85, 86, 87, 88, 125, 126, 143].”
• The Convolution on Time Scales (2007, methodology): “In [4], this difficulty is overcome in case of pairs of functions, in which one of the functions is an “elementary function.”
• The Laplace transform on time scales revisited (2007, methodology): “In this instance, we see that for any f ∈ Cprd-e2(T,R), the transform of h(t) = ∫ t 0 f (τ) τ is given by L{h} = L{f ∗ 1} = F(z)L{1} = F(z) z , another result obtained by direct calculation in Bohner and Peterson [3].”