Hüseyin, Hüseyin Şirin

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Profile URL
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.
Job Title
Profesör Doktor
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Main Affiliation
Mathematics
Status
Former Staff
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WoS Researcher ID

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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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Now showing 1 - 10 of 64
  • Thumbnail Image
    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: 1
    Citation - Scopus: 1
    An Application of Spectral Theory of the Laplace Operator
    (Taylor & Francis Ltd, 2013) Guseinov, Gusein Sh.
    We describe the structure of arbitrary rapidly decreasing functions of the Laplace operator. Combining this with the spectral data of the periodic Laplace operator we develop a generalization of the classical Poisson summation formula.
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    Conference Object
    Citation - WoS: 6
    Discrete calculus of variations
    (Amer inst Physics, 2004) Guseinov, GS
    The continuous calculus of variations is concerned mainly with the determination of minima or maxima of certain definite integrals involving unknown functions. In this paper, a discrete calculus of variations for sums is treated, including the discrete Euler-Lagrange equation.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    An Inverse Problem for Two Spectra of Complex Finite Jacobi Matrices
    (Tech Science Press, 2012) Guseinov, Gusein Sh.; Mathematics
    This paper deals with the inverse spectral problem for two spectra of finite order complex Jacobi matrices (tri-diagonal symmetric matrices with complex entries). The problem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the matrix obtained by replacing the first diagonal element of the Jacobi matrix by some another number. The uniqueness and existence results for solution of the inverse problem are established and an explicit algorithm of reconstruction of the matrix from the two spectra is given.
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    On the Eigenfunction Expansion of the Laplace-Beltrami Operator in Hyperbolic Space
    (Taylor & Francis Ltd, 2015) Guseinov, Gusein Sh.
    We describe the spectral projection of the Laplace-Beltrami operator in n-dimensional hyperbolic space by studying its resolvent as an analytic operator-valued function and applying the technique of contour integration. As a result an integral formula is established for the associated Legendre function
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    Article
    Citation - WoS: 1
    Citation - Scopus: 1
    Solving an initial boundary value problem on the semiinfinite interval
    (Tubitak Scientific & Technological Research Council Turkey, 2016) Atalan, Ferihe; Guseinov, Gusein Sh.
    We explore the sign properties of eigenvalues and the basis properties of eigenvectors for a special quadratic matrix polynomial and use the results obtained to solve the corresponding linear system of differential equations on the half line subject to an initial condition at t = 0 and a condition at t = infinity.
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    Article
    Citation - WoS: 10
    Citation - Scopus: 12
    On an Inverse Problem for Two Spectra of Finite Jacobi Matrices
    (Elsevier Science inc, 2012) Guseinov, Gusein Sh.
    We solve a version of the inverse spectral problem for two spectra of finite order real Jacobi matrices. The problem is to reconstruct the matrix using two sets of eigenvalues, one for the original Jacobi matrix and one for the matrix obtained by replacing the last diagonal element of the Jacobi matrix by some another number. The uniqueness and existence results for solution of the inverse problem are established and an explicit procedure of reconstruction of the matrix from the two spectra is given. (C) 2012 Elsevier Inc. All rights reserved.
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    Conference Object
    On the Riemann Integration on Time Scales
    (Crc Press-taylor & Francis Group, 2004) Guseinov, GS; Kaymakçalan, B
    In this paper we introduce and investigate the concepts of Riemann's delta and nabla integrals on time scales. Main theorems of the integral calculus on time scales are proved.
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    Article
    Citation - WoS: 6
    Citation - Scopus: 6
    A Boundary Value Problem for Second Order Nonlinear Difference Equations on the Semi-Infinite Interval
    (Taylor & Francis Ltd, 2002) Guseinov, GS
    In this paper, we consider a boundary value problem (BVP) for nonlinear difference equations on the discrete semi-axis in which the left-hand side being a second order linear difference expression belongs to the so-called Weyl-Hamburger limit-circle case. The BVP is considered in the Hilbert space l(2) and is formed via boundary conditions at a starting point and at infinity. Existence and uniqueness results for solutions of the considered BVP are established.
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    Article
    A boundary value problem for second-order nonlinear difference equations on the integers
    (Cambridge Univ Press, 2005) Dal, F; Guseinov, GS
    In this study, we are concerned with a boundary value problem (BVP) for nonlinear difference equations on the set of all integers Z, under the assumption that the left-hand side is a second-order linear difference expression which belongs to the so-called Weyl-Hamburger limit-circle case. The BVP is considered in the Hilbert space l(2) and includes boundary conditions at infinity. Existence and uniqueness results for solution of the considered BVP are established.