Schneider, Baruch
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Schneider, B
Schneider, B.
Schneider, B.
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baruch.schneider@ieu.edu.tr
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02.02. Mathematics
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Former Staff
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Documents
47
Citations
172
h-index
8
Documents
13
Citations
59
Scholarly Output
20
Articles
16
Views / Downloads
13/38
Supervised MSc Theses
0
Supervised PhD Theses
0
WoS Citation Count
75
Scopus Citation Count
94
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0
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0
WoS Citations per Publication
3.75
Scopus Citations per Publication
4.70
Open Access Source
7
Supervised Theses
0
| Journal | Count |
|---|---|
| Applıed Mathematıcs And Computatıon | 5 |
| Medıterranean Journal of Mathematıcs | 2 |
| Advances in Applıed Clıfford Algebras | 2 |
| Complex Analysıs And Operator Theory | 1 |
| Complex Varıables And Ellıptıc Equatıons | 1 |
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Now showing 1 - 10 of 20
Article Citation - WoS: 10Citation - Scopus: 10Singular Integrals of the Time Harmonic Maxwell Equations Theory on a Piecewise Liapunov Surface(Tsing Hua Univ, Dept Mathematics, 2007) Schneider, BaruchWe give a short proof of a formula of Poincare-Bertrand in the setting of theory of time-harmonic electromagnetic fields on a piece-wise Liapunov surface, as well as for some versions of quaternionic analysis.Article Citation - WoS: 4Citation - Scopus: 4Dirichlet-Type Problems for the Two-Dimensional Helmholtz Operator in Complex Quaternionic Analysis(Springer Basel Ag, 2016) Bory-Reyes, Juan; Abreu-Blaya, Ricardo; Hernandez-Simon, Luis M.; Schneider, BaruchThis study aims to study a class of Dirichlet-type problems associated with the two-dimensional Helmholtz equation with complex potential. Orthogonal decompositions of the complex quaternionic-valued Sobolev space as well as the corresponding orthoprojections onto the subspaces of theses decompositions are obtained. Analytic representation formulas for the underlying solutions in terms of hypercomplex integral operators are established.Article Citation - Scopus: 7Some Properties of a Cauchy-Type Integral for the Moisil-Theodoresco System of Partial Differential Equations(2006) Schneider B.Our main interest is an analog of a Cauchy-type integral for the theory of the Moisil-Theodoresco system of differential equations in the case of a piecewise-Lyapunov surface of integration. The topics of the paper concern theorems that cover basic properties of this Cauchy-type integral: the Sokhotskii-Plemelj theorem for it as well as a necessary and sufficient condition for the possibility of extending a given Hölder function from such a surface up to a solution of the Moisil-Theodoresco system of partial differential equations in a domain. A formula for the square of a singular Cauchy-type integral is given. The proofs of all these facts are based on intimate relations between the theory of the Moisil-Theodoresco system of partial differential equations and some versions of quaternionic analysis. © 2006 Springer Science+Business Media, Inc.Conference Object Citation - WoS: 2Some Properties of the Cauchy-Type Integral for the Laplace Vector Fields Theory(Amer Inst Physics, 2004) Schneider, B; Shapiro, MWe study the analog of the Cauchy-type integral for the Laplace vector fields theory in case of a piece-wise Liapunov surface of integration and we prove the Sokhotski-Plemelj theorem for it as well as the necessary and sufficient condition for the possibility to extend a given Holder function from such a surface up to a Laplace vector field. Formula for the square of the singular Cauchy-type integral is given. The proofs of all these facts are based on intimate relations between Laplace vector field and some versions of quaternionic analysis.Article Citation - WoS: 4Citation - Scopus: 4On the Hilbert Formulas and of Change of Integration Order for Some Singular Integrals in the Unit Circle(Scientific Technical Research Council Turkey-Tubitak, 2018) Bory Reyes, Juan; Abreu Blaya, Ricardo; Perez De La Rosa, Marco Antonio; Schneider, BaruchWe obtain some analogues of the Hilbert formulas on the unit circle for alpha-hyperholomorphic function theory when alpha is a complex number. Such formulas relate a pair of components of the boundary value of an alpha-hyperholomorphic function in the unit circle with the other one. Furthermore, the corresponding Poincare-Bertrand formula for the alpha-hyperholomorphic singular integrals in the unit circle is presented.Article Citation - Scopus: 25Is Cancer a Pure Growth Curve or Does It Follow a Kinetics of Dynamical Structural Transformation?(BioMed Central Ltd., 2017) González M.M.; Joa J.A.G.; Cabrales L.E.B.; Pupo A.E.B.; Schneider B.; Kondakçı, Süleyman; Ciria H.M.C.Background: Unperturbed tumor growth kinetics is one of the more studied cancer topics; however, it is poorly understood. Mathematical modeling is a useful tool to elucidate new mechanisms involved in tumor growth kinetics, which can be relevant to understand cancer genesis and select the most suitable treatment. Methods: The classical Kolmogorov-Johnson-Mehl-Avrami as well as the modified Kolmogorov-Johnson-Mehl-Avrami models to describe unperturbed fibrosarcoma Sa-37 tumor growth are used and compared with the Gompertz modified and Logistic models. Viable tumor cells (1×105) are inoculated to 28 BALB/c male mice. Results: Modified Gompertz, Logistic, Kolmogorov-Johnson-Mehl-Avrami classical and modified Kolmogorov-Johnson-Mehl-Avrami models fit well to the experimental data and agree with one another. A jump in the time behaviors of the instantaneous slopes of classical and modified Kolmogorov-Johnson-Mehl-Avrami models and high values of these instantaneous slopes at very early stages of tumor growth kinetics are observed. Conclusions: The modified Kolmogorov-Johnson-Mehl-Avrami equation can be used to describe unperturbed fibrosarcoma Sa-37 tumor growth. It reveals that diffusion-controlled nucleation/growth and impingement mechanisms are involved in tumor growth kinetics. On the other hand, tumor development kinetics reveals dynamical structural transformations rather than a pure growth curve. Tumor fractal property prevails during entire TGK. © 2017 The Author(s).Article Citation - Scopus: 2On the Hilbert Formulas on the Unit Circle for Alpha-Hyperholomorphic Function Theory(Taylor & Francis Ltd, 2018) Bory Reyes, J.; Abreu Blaya, R.; Perez-de la Rosa, M. A.; Schneider, B.We obtain some analogues of the Hilbert formulas on the unit circle for alpha-hyperholomorphic function theory in R-2 for a being a complex quaternionic number. The obtained formulas relate a pair of components of the boundary value of an alpha-hyperholomorphic function in the unit discwith the other pair of components and, hence, being analogous to the case of the theory of functions of one complex variable.Article Citation - WoS: 4Citation - Scopus: 4Some Notes on the Poincare-Bertrand Formula(Hindawi Ltd, 2012) Schneider, BaruchThe aim of this present paper is to establish the Poincare-Bertrand formula for the double-layer potential on piecewise Lyapunov curve of integration.Article Citation - WoS: 2On the Asymptotic Solution for the Fourier-Bessel Multiple Scattering Coefficients of an Infinite Grating of Insulating Dielectric Circular Cylinders at Oblique Incidence(Elsevier Science Inc, 2008) Kavaklioglu, Oemer; Schneider, BaruchThe 'asymptotic solution' for the classical electromagnetic problem of the diffraction of obliquely incident plane E-polarized waves by an infinite array of infinitely long insulating dielectric circular cylinders is investigated. Exploiting the elementary function representations of 'Schlomilch series', which was originally developed by Twersky [ V. Twersky, Elementary function representations of Schlomilch series. Arch. Ration. Mech. Anal. 8 ( 1961) 323 - 332.], we have obtained a 'new' set of equations describing the behavior of the 'Fourier-Bessel multiple scattering coefficients' of an infinite grating of circular dielectric cylinders for vertically polarized obliquely incident plane electromagnetic waves when the grating spacing 'd' is small compare to a wavelength. In addition, we have achieved to acquire the 'asymptotic solution for the multiple scattering coefficients of the infinite grating at oblique incidence' as a function of the ratio of the cylinder radius 'a' to grating spacing. (c) 2007 Elsevier Inc. All rights reserved.Article Citation - WoS: 4Citation - Scopus: 1On the 2d Quaternionic Metaharmonic Layer Potentials(Springer Basel Ag, 2017) Bory Reyes, J.; Abreu Blaya, R.; Perez de la Rosa, M. A.; Schneider, B.This paper aims to study several boundary value properties, to derive a Poincare-Bertrand formula and to solve some Dirichlet-type problems for the 2D quaternionic metaharmonic layer potentials.
