The <i>h</i>-Laplace and <i>q</i>-Laplace transforms

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Date

2010

Authors

Hüseyin, Hüseyin Şirin
Guseinov, Gusein Sh.

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Academic Press inc Elsevier Science

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Mathematics
(2000)
The Atılım University Department of Mathematics was founded in 2000 and it offers education in English. The Department offers students the opportunity to obtain a certificate in Mathematical Finance or Cryptography, aside from their undergraduate diploma. Our students may obtain a diploma secondary to their diploma in Mathematics with the Double-Major Program; as well as a certificate in their minor alongside their diploma in Mathematics through the Minor Program. Our graduates may pursue a career in academics at universities, as well as be hired in sectors such as finance, education, banking, and informatics. Our Department has been accredited by the evaluation and accreditation organization FEDEK for a duration of 5 years (until September 30th, 2025), the maximum FEDEK accreditation period achievable. Our Department is globally and nationally among the leading Mathematics departments with a program that suits international standards and a qualified academic staff; even more so for the last five years with our rankings in the field rankings of URAP, THE, USNEWS and WEBOFMETRIC.

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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. (c) 2009 Elsevier Inc. All rights reserved.

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Bohner, Martin/0000-0001-8310-0266
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Bohner, Martin ORCID logo

Keywords

Time scales, Laplace transform, Convolution, Inverse transform

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Citation

53

WoS Q

Q2

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Q2

Source

Volume

365

Issue

1

Start Page

75

End Page

92

URI

https://doi.org/10.1016/j.jmaa.2009.09.061
 https://hdl.handle.net/20.500.14411/1465

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