Root uniqueness of the Gakhov equation in the classes of functions with the bounded pre-Schwarzian
Учёные записки Казанского университета: Серия Физико-математические науки, 2019 It was established that if the left-hand side of the Gakhov equation is bounded by the constant 2, then this equation has exactly one root in the unit disk, where the constant is sharp and the root is not necessarily zero. We revealed two aspects arising
A.V. Kazantsev
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On the Gakhov Equation for the Biernacki Operator [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 The paper establishes the region in the parameter plane such that the image of any starlike function with the zero root of the Gakhov equation under the mapping by the Biernacki operator corresponding to the parameter of this region is found in the ...
A.V. Kazantsev
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On the Gakhov Equation in the Janowski Classes with Additional Parameter [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2015 The Janowski class is characterized by a suitable disk in the right half-plane containing values of the functional ζf0 /f for all functions of this class. The set of such classes-disks forms a two-dimensional family ”filling” ∆ triangle.
A.V. Kazantsev
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The explicit solution of the Neumann boundary value problem for Bauer differential equation in circular domains [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The article is devoted to the boundary value problem of Neumann problem's type for solutions of one second-order elliptic differential equation.
Rasulov, Karim Magomedovich +1 more
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An extension of Hewitt's inversion formula and its application to fluctuation theory [PDF]
, 2015 We analyze fluctuations of random walks with generally distributed increments. Integral representations for key performance measures are obtained by extending an inversion theorem of Hewitt [11] for Laplace-Stieltjes transforms. Another important part of
Badila, E. S.
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Explicit solution of one hypersingular integro-differential equation of the second order
Журнал Белорусского государственного университета: Математика, информатика, 2019 The linear equation on the curve located on the complex plane is studied. The equation contains the desired function, its derivatives of the first and second orders, as well as hypersingular integrals with the desired function.
Andrei P. Shilin
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Large-N limit of the generalized 2-dimensional Yang-Mills theories [PDF]
, 1998 Using the standard saddle-point method, we find an explicit relation for the large-N limit of the free energy of an arbitrary generalized 2D Yang-Mills theory in the weak ($AA_c$) region, we investigate carefully the specific fourth Casimir theory, and ...
Aghamohammdi, A. +2 more
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The relationship between a strip Wiener-Hopf problem and a line Riemann-Hilbert problem [PDF]
, 2015 In this paper, the Wiener–Hopf factorization problem is presented in a unified framework with the Riemann–Hilbert factorization. This allows to establish the exact relationship between the two types of factorization.
Kisil, AV
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Tiny a priori knowledge solves the interior problem in computed tomography [PDF]
, 2008 Based on the concept of differentiated backprojection (DBP) (Noo et al 2004 Phys. Med. Biol. 49 3903, Pan et al 2005 Med. Phys. 32 673, Defrise et al 2006 Inverse Problems 22 1037), this paper shows that the solution to the interior problem in computed ...
Courdurier Matias +4 more
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Infinite hierarchies of exact solutions of the Einstein and Einstein-Maxwell equations for interacting waves and inhomogeneous cosmologies [PDF]
, 2000 For space-times with two spacelike isometries, we present infinite hierarchies of exact solutions of the Einstein and Einstein--Maxwell equations as represented by their Ernst potentials.
F. D. Gakhov +9 more
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