The H-Laplace and Q-Laplace Transforms
Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the particular concepts of the h-Laplace and q-Laplace transforms. The convolution and inversion problems for these transforms are considered in some detail.
G. S. Guseinov and M. Bohner, "The H-Laplace and Q-Laplace Transforms," Journal of Mathematical Analysis and Applications, Elsevier, May 2010.
The definitive version is available at http://dx.doi.org/10.1016/j.jmaa.2009.09.061
Mathematics and Statistics
National Science Foundation (U.S.)
Keywords and Phrases
Convolution; Inverse Transform; Time Scales; Laplace Transformation
Article - Journal
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