"The H-Laplace and Q-Laplace Transforms" by Gusein Sh. Guseinov

Selected Works of Martin Bohner

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The H-Laplace and Q-Laplace Transforms

Journal of Mathematical Analysis and Applications

Gusein Sh. Guseinov
Martin Bohner, Missouri University of Science and Technology

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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.

Department(s)

Mathematics and Statistics

Sponsor(s)

National Science Foundation (U.S.)

Keywords and Phrases

Convolution,
Inverse Transform,
Time Scales,
Laplace Transformation

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

Publication Date

5-1-2010

Publication Date

01 May 2010

Disciplines

Citation Information

Gusein Sh. Guseinov and Martin Bohner. "The H-Laplace and Q-Laplace Transforms" Journal of Mathematical Analysis and Applications (2010) ISSN: 0022-247X
Available at: http://works.bepress.com/martin-bohner/116/