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The h-Laplace and q-Laplace transforms
Authors:Martin Bohner  Gusein Sh. Guseinov
Affiliation:a Missouri S&T, Department of Mathematics, Rolla, MO 65401, USA
b Atilim University, Department of Mathematics, 06836 Incek, Ankara, Turkey
Abstract: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.
Keywords:Time scales   Laplace transform   Convolution   Inverse transform
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