Hüseyin, Hüseyin Şirin

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https://hdl.handle.net/20.500.14411/8081
Name Variants
H.,Hüseyin
H.S.Huseyin
H.,Huseyin Sirin
Hüseyin, Hüseyin Şirin
H., Huseyin Sirin
H.,Hüseyin Şirin
Huseyin, Huseyin Sirin
Hüseyin,H.Ş.
Hüseyin Şirin, Hüseyin
H., Huseyin
Huseyin,H.S.
H.Ş.Hüseyin
Huseyin Sirin, Huseyin
Guseinov, Gusein Sh.
Guseinov, GS
Guseinov, Gusein Sh
Guseinov, G. Sh.
Guseinov, Gusein S. H.
Guseinov, Gusein SH.
Guseinov,G.S.
Guseinov,G.Sh.
Guseinov,G.S.
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Profesör Doktor
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Mathematics
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Former Staff
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Scholarly Output

64

Articles

59

Views / Downloads

213/0

Supervised MSc Theses

0

Supervised PhD Theses

0

WoS Citation Count

1301

Scopus Citation Count

1370

Patents

0

Projects

0

WoS Citations per Publication

20.33

Scopus Citations per Publication

21.41

Open Access Source

21

Supervised Theses

0

JournalCount
Journal of Difference Equations and Applications6
Journal of Mathematical Analysis and Applications5
Computers & Mathematics with Applications4
Hacettepe Journal of Mathematics and Statistics4
Integral Transforms and Special Functions3
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Author: Bohner, MartinHas files: false

Scholarly Output Search Results

Now showing 1 - 10 of 10
  • Thumbnail Image
    Article
    Citation - WoS: 12
    Citation - Scopus: 16
    The Laplace Transform on Isolated Time Scales
    (Pergamon-elsevier Science Ltd, 2010) Bohner, Martin; Guseinov, Gusein Sh.
    Starting with a general definition of the Laplace transform on arbitrary time scales, we specify the Laplace transform on isolated time scales, prove several properties of the Laplace transform in this case, and establish a formula for the inverse Laplace transform. The concept of convolution is considered in more detail by proving the convolution theorem and a discrete analogue of the classical theorem of Titchmarsh for the usual continuous convolution. (C) 2010 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 56
    Citation - Scopus: 68
    The h-laplace and q-laplace Transforms
    (Academic Press inc Elsevier Science, 2010) Bohner, Martin; Guseinov, Gusein Sh.
    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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    Article
    Citation - WoS: 10
    Citation - Scopus: 12
    Further Properties of the Laplace Transform on Time Scales With Arbitrary Graininess
    (Taylor & Francis Ltd, 2013) Bohner, Martin; Guseinov, Gusein Sh; Karpuz, Basak
    In this work, we generalize several properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Among them are translation theorems, transforms of periodic functions, integration of transforms, transforms of derivatives and integrals, and asymptotic values.
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    Article
    Citation - WoS: 27
    Citation - Scopus: 39
    Properties of the Laplace transform on time scales with arbitrary graininess
    (Taylor & Francis Ltd, 2011) Bohner, Martin; Guseinov, Gusein Sh.; Karpuz, Basak; Karpuzc, Başak
    We generalize several standard properties of the usual Laplace transform to the Laplace transform on arbitrary time scales. Some of these properties were justified earlier under certain restrictions on the graininess of the time scale. In this work, we have no restrictions on the graininess.
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    Article
    Citation - WoS: 4
    An Introduction To Complex Functions on Products of Two Time Scales
    (Taylor & Francis Ltd, 2006) Bohner, Martin; Guseinov, Gusein SH.
    In this paper, we study the concept of analyticity for complex-valued functions of a complex time scale variable, derive a time scale counter-part of the classical Cauchy-Riemann equations, introduce complex line delta and nabla integrals along time scales curves, and obtain a time scale version of the classical Cauchy integral theorem.
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    Article
    Citation - WoS: 47
    Citation - Scopus: 63
    The Convolution on Time Scales
    (Hindawi Publishing Corporation, 2007) Bohner, Martin; Guseinov, Gusein Sh.
    The main theme in this paper is an initial value problem containing a dynamic version of the transport equation. Via this problem, the delay (or shift) of a function defined on a time scale is introduced, and the delay in turn is used to introduce the convolution of two functions defined on the time scale. In this paper, we give some elementary properties of the delay and of the convolution and we also prove the convolution theorem. Our investigation contains a study of the initial value problem under consideration as well as some results about power series on time scales. As an extensive example, we consider the q-difference equations case. Copyright (c) 2007 M. Bohner and G. Sh. Guseinov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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    Article
    Citation - WoS: 77
    Citation - Scopus: 85
    Double Integral Calculus of Variations on Time Scales
    (Pergamon-elsevier Science Ltd, 2007) Bohner, Martin; Guseinov, Gusein Sh.
    We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations. Necessary and sufficient conditions for a local extremum are established, among them an analogue of the Euler-Lagrange equation. (C) 2007 Elsevier Ltd. All rights reserved.
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    Article
    Citation - WoS: 7
    Citation - Scopus: 8
    Surface Areas and Surface Integrals on Time Scales
    (Dynamic Publishers, inc, 2010) Bohner, Martin; Guseinov, Gusein Sh; Mathematics
    We study surfaces parametrized by time scale parameters, obtain an integral fomula for computing the area of time scale surfaces, introduce delta integrals over time scale surfaces, and give sufficient conditions that ensure existence of these integrals
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    Article
    Citation - WoS: 15
    Multiple Lebesgue Integration on Time Scales
    (Hindawi Publishing Corporation, 2006) Bohner, Martin; Guseinov, Gusein Sh.
    We study the process of multiple Lebesgue integration on time scales. The relationship of the Riemann and the Lebesgue multiple integrals is investigated. Copyright (c) 2006 M. Bohner and G. Sh. Guseinov.
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    Article
    Citation - WoS: 21
    Citation - Scopus: 22
    Line Integrals and Green's Formula on Time Scales
    (Academic Press inc Elsevier Science, 2007) Bohner, Martin; Guseinov, Gusein Sh.
    In this paper we study curves parametrized by a time scale parameter, introduce line delta and nabla integrals along time scale curves, and obtain an analog of Green's formula in the time scale setting. (c) 2006 Elsevier Inc. All rights reserved.