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Physical Sciences and Mathematics

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2010

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Articles 121 - 123 of 123

Full-Text Articles in Education

Properties Of The Generalized Laplace Transform And Transport Partial Dynamic Equation On Time Scales, Chris R. Ahrendt Jan 2010

Properties Of The Generalized Laplace Transform And Transport Partial Dynamic Equation On Time Scales, Chris R. Ahrendt

Department of Mathematics: Dissertations, Theses, and Student Research

In this dissertation, we first focus on the generalized Laplace transform on time scales. We prove several properties of the generalized exponential function which will allow us to explore some of the fundamental properties of the Laplace transform. We then give a description of the region in the complex plane for which the improper integral in the definition of the Laplace transform converges, and how this region is affected by the time scale in question. Conditions under which the Laplace transform of a power series can be computed term-by-term are given. We develop a formula for the Laplace transform for …


Undergraduate And Graduate Programs In Environmental Science At Unlv, Scott R. Abella Jan 2010

Undergraduate And Graduate Programs In Environmental Science At Unlv, Scott R. Abella

Public Policy and Leadership Faculty Publications

The School of Environmental and Public Affairs at UNLV houses B.A. and B.S. degrees in Environmental Studies and M.S. and PhD degrees in Environmental Science. These degrees are flexible, multi-purpose, interdisciplinary programs that can be tailored for both breadth and depth.


Rademacher-Type Formulas For Partitions And Overpartitions, Andrew Sills Jan 2010

Rademacher-Type Formulas For Partitions And Overpartitions, Andrew Sills

Department of Mathematical Sciences Faculty Publications

A Rademacher-type convergent series formula which generalizes the Hardy-Ramanujan-Rademacher formula for the number of partitions of n and the Zuckerman formula for the Fourier coefficients of ϑ4_0 | τ_−1 is presented.