Search Results - "Bezrodnykh, S. I."

Constructing basises in solution space of the system of equations for the Lauricella Function FD (N) by Bezrodnykh, S. I.

“…The paper considers the issue of constructing basises in the solution space of the system of partial differential equations, which is satisfied by the…”
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Formulas for Computing Euler-Type Integrals and Their Application to the Problem of Constructing a Conformal Mapping of Polygons by Bezrodnykh, S. I.

“…This paper deals with Euler-type integrals and the closely related Lauricella function , which is a hypergeometric function of many complex variables . For new…”
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Analytic continuation of the Horn hypergeometric series with an arbitrary number of variables by Bezrodnykh, S. I.

“…The problem of analytic continuation is considered for the general hypergeometric Horn series with an arbitrary number of variables. An approach is proposed…”
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Formulas for Computing the Lauricella Function in the Case of Crowding of Variables by Bezrodnykh, S. I.

“…For the Lauricella function , which is a hypergeometric function of several complex variables , analytic continuation formulas are constructed that correspond…”
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Formulas for Analytic Continuation of Horn Functions of Two Variables by Bezrodnykh, S. I.

“…The Horn hypergeometric series of two variables and corresponding systems of partial differential equations are considered. A method is proposed for deriving…”
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Horn's hypergeometric functions with three variables by Bezrodnykh, S. I.

“…The work is devoted to obtaining explicit formulas for analytic continuation of quite general hypergeometric series depending on three variables and belonging…”
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Analytic continuation of the Kampé de Fériet function and the general double Horn series by Bezrodnykh, S. I.

“…For the Kampé de Fériet function, such analytic continuation formulas are obtained that allow one to represent this function as exponentially converging…”
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Analytic continuation of the Lauricella function with arbitrary number of variables by Bezrodnykh, S. I.

“…The Lauricella function , which is a generalized hypergeometric function of N variables, and a corresponding system of partial differential equations are…”
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Analytic continuation of Lauricella's functions , and by Bezrodnykh, S. I.

“…We construct formulas for analytic continuation of the Lauricella functions , and into the exterior of the domains, where they are initially defined by…”
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Lauricella Function and the Conformal Mapping of Polygons by Bezrodnykh, S. I.

“…In this paper, some progress has been made in solving the problem of calculating the parameters of the Schwarz–Christoffel integral realizing a conformal…”
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Singular Riemann-Hilbert problem in complex-shaped domains by Bezrodnykh, S. I., Vlasov, V. I.

“…In simply connected complex-shaped domains ℬ a Riemann-Hilbert problem with discontinuous data and growth condidions of a solution at some points of the…”
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Discontinuous plasma flows near reconnecting current layers in solar flares by Bezrodnykh, S. I., Kolesnikov, N. P., Somov, B. V.

“…A model for magnetic reconnection in high-conductivity plasma in the solar corona is analyzed in a strong-magnetic-field approximation. The model includes a…”
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Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics by Bezrodnykh, S. I., Gordeeva, N. M.

“…We consider a boundary value problem for a system of integro-differential equations arising when modeling the influence of an electric field on a plasma layer…”
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Analysis of Defects and Harmonic Grid Generation in Domains with Angles and Cutouts by Bezrodnykh, S. I., Vlasov, V. I.

“…A survey of works concerning difficulties associated with harmonic grid generation in plane domains with angles and cutouts is given, and some new results are…”
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System of Partial Differential Equations and Analytical Representations of the Weierstrass Sigma Function by Alekseev, M. M., Bezrodnykh, S. I.

“…We obtain a power series representation of the Weierstrass sigma function arising in the theory of elliptic functions and derive a differential–recurrence…”
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Analytic Solution of the System of Integro-Differential Equations for the Plasma Model in an External Field by Bezrodnykh, S.I., Gordeeva, N.M.

“…We study a system of two integro-differential equations that arises as the result of linearization of Boltzmann–Maxwell’s kinetic equations, where the…”
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The Method of Harmonic Mapping of Regions with a Notch by Bezrodnykh, S. I., Vlasov, V. I.

“…It is well known that common numerical methods encounter serious computational difficulties when constructing harmonic mappings of regions with notches and…”
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Singularity Formation in an Incompressible Boundary Layer on an Upstream Moving Wall under Given External Pressure by Bezrodnykh, S. I., Zametaev, V. B., Chzhun, Te Ha

“…The two-dimensional laminar flow of a viscous incompressible fluid over a flat surface is considered at high Reynolds numbers. The influence exerted on the…”
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Asymptotics of the Riemann–Hilbert Problem for the Somov Model of Magnetic Reconnection of Long Shock Waves by Bezrodnykh, S. I., Vlasov, V. I.

“…We consider the Riemann–Hilbert problem in a domain of complicated shape (the exterior of a system of cuts), with the condition of growth of the solution at…”
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Application of the multipole method to direct and inverse problems for the Grad-Shafranov equation with a nonlocal condition by Bezrodnykh, S. I., Vlasov, V. I.

“…Two homogeneous Dirichlet problems for the Grad-Shafranov equation with an affine right-hand side are considered in plane simply connected domains with a…”
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