Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Artur Ishkhanyan"'
Publikováno v:
Mathematics, Vol 11, Iss 9, p 2087 (2023)
The Grad–Shafranov plasma equilibrium equation was originally solved analytically in toroidal geometry, which fitted the geometric shape of the first Tokamaks. The poloidal surface of the Tokamak has evolved over the years from a circular to a D-sh
Externí odkaz:
https://doaj.org/article/3813925735824966b5ab67475ac1c84d
Publikováno v:
Mathematics, Vol 9, Iss 24, p 3316 (2021)
We present some solutions of the three-dimensional Laplace equation in terms of linear combinations of generalized hyperogeometric functions in prolate elliptic geometry, which simulates the current tokamak shapes. Such solutions are valid for partic
Externí odkaz:
https://doaj.org/article/882667df0e694df2b844f6569f2b89ee
Autor:
Artur Ishkhanyan, Clemente Cesarano
Publikováno v:
Axioms, Vol 8, Iss 3, p 102 (2019)
We show that a Fuchsian differential equation having five regular singular points admits solutions in terms of a single generalized hypergeometric function for infinitely many particular choices of equation parameters. Each solution assumes four rest
Externí odkaz:
https://doaj.org/article/e6addd9cced74f55bb633a22c9c45d06
Autor:
Artur Ishkhanyan, D.Yu. Melikdzhanian
Publikováno v:
The Ramanujan Journal. 57:37-53
Infinitely many cases for which two independent fundamental solutions of the biconfluent Heun equation can each be presented as an irreducible linear combination of two confluent generalized hypergeometric functions are identified. The involved hyper
Publikováno v:
Theoretical and Mathematical Physics. 208:1201-1206
The fractional derivative method is used to take wave dispersion into account in the wave equation when describing the propagation of gravitational soliton waves on the surface of deep water. This approach is similar to that used to obtain the Kortew
Autor:
Artur Ishkhanyan, Vladimir P. Krainov
Publikováno v:
Journal of Russian Laser Research. 42:554-557
We develop the harmonic oscillator model for description of thermal properties of very small dielectric crystals at very low temperatures. We show that the phonon heat capacity of small crystal samples at temperatures lower than 1K differs significan
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 208:409-415
Метод дробных производных используется в волновом уравнении для учета дисперсии волн при описании распространения гравитационных сол
Autor:
Vladimir P. Krainov, Artur Ishkhanyan
Publikováno v:
Journal of Experimental and Theoretical Physics. 132:892-896
The potential energy of attraction between hydrogen atoms spaced by distance R on the order of aB/α, where aB is the Bohr radius and α = e2/ $$\hbar $$ c = 1/137 is the fine structure constant, has been determined. The energy depends of R according
Autor:
Artur Ishkhanyan
Publikováno v:
Zeitschrift für Naturforschung A. 75:771-779
We present the exact solution of the 1D Dirac equation for the inverse-square-root potential 1 / x $1/\sqrt{x}$ for several configurations of vector, pseudo-scalar, and scalar fields. Each fundamental solution of the problem can be written as an irre
Publikováno v:
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences). 55:200-207
The Heun functions satisfy linear ordinary differential equations of second order with certain singularities in the complex plane. The first order derivatives of the Heun functions satisfy linear second order differential equations with one more sing