Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Robert M Yamaleev"'
Autor:
Robert M Yamaleev
Publikováno v:
Cubo, Vol 13, Iss 1, Pp 25-43 (2011)
Invariant theory as a study of properties of polynomials under translational transformations is developed. Class of polynomials with congruent set of eigenvalues is introduced. Evolution equations for eigenvalues and coefficients remaining the polyno
Externí odkaz:
https://doaj.org/article/75b6e771f3804e1ab47551d8d7694eb2
Autor:
Robert M Yamaleev
Publikováno v:
International Journal of Emerging Technology and Advanced Engineering. 10:6-8
Representation of the Coulomb field as a metrics of the hyperbolic space within the Beltrami- Poincare model of hyperbolic geometry is done. In order to connect the potential of the electric field with the length of a geodesic line a new characterist
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::20547ce2ea9b06d51c71baea4f0b2146
https://doi.org/10.46338/ijetae1020_02
https://doi.org/10.46338/ijetae1020_02
Autor:
Robert M. Yamaleev
Publikováno v:
International Journal of Applied and Computational Mathematics. 7
It is shown, similarly as the solution of the Riccati equation can be given via quotients of two linear independent solutions of the second order ordinary differential equation, the solution of the Riccati-Abel differential equation is presented by t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6d9a60c72fb51a5dd4150f9ece276c1
https://doi.org/10.1007/s40819-021-00981-z
https://doi.org/10.1007/s40819-021-00981-z
Autor:
Robert M. Yamaleev
Publikováno v:
International Journal of Applied and Computational Mathematics. 5
A systematic description of actions of the divided differences operators on power and exponential functions is given. The results of actions of these operators on entire functions are presented by the matrices whose elements are functions of coeffici
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e8404c7c48c395495e4871501736bf7
https://doi.org/10.1007/s40819-019-0719-7
https://doi.org/10.1007/s40819-019-0719-7
Publikováno v:
Journal of Modern Physics. :1320-1330
The velocity of the electromagnetic radiation in a perfect dielectric, containing no charges and no conduction currents, is explored and determined on making use of the Lorentz transformations. Besides the idealised blackbody radiation, whose vacuum
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab83077627698a3736988d666da3cb3e
https://doi.org/10.4236/jmp.2016.711118
https://doi.org/10.4236/jmp.2016.711118
Autor:
Robert M. Yamaleev
Publikováno v:
International Journal of Applied and Computational Mathematics. 1:513-525
Pascal matrix is an adjoint operator of the differential operator of translation. This feature of the Pascal matrix is used in order to construct evolution equations for coefficients of polynomials induced by shifts of the roots. Under certain initia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ab9f29c747f3746f1143c494548f284d
https://doi.org/10.1007/s40819-015-0037-7
https://doi.org/10.1007/s40819-015-0037-7
Autor:
Robert M. Yamaleev
Publikováno v:
Journal of Mathematical Analysis and Applications. 420:334-347
In this work we suggest a systematic method of construction of solutions of the n-order Riccati equation with constant coefficients in a field from the set of generalized trigonometric functions. The generalized trigonometric functions satisfy the sy
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::98fd59f4ca3bfc772705eec6c9e037d3
https://doi.org/10.1016/j.jmaa.2014.05.066
https://doi.org/10.1016/j.jmaa.2014.05.066
Autor:
Robert M. Yamaleev
Publikováno v:
Proceedings of Indian National Science Academy, Vol 45, Iss 2 (2014)
Solutions of the generalized Riccati equations with third order nonlinearity, named as Riccati-Abel equation, are expressed via third order trigonometric functions. It is shown, as the ordinary Riccati equation, also the Riccati-Abel equation has a r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::baaf56f271873e7b9f686620037087b7
https://doi.org/10.1007/s13226-014-0057-8
https://doi.org/10.1007/s13226-014-0057-8
Autor:
Robert M. Yamaleev
Publikováno v:
Physics of Atomic Nuclei. 76:1308-1313
Two alternative ways of description an evolution constrained by mass-shell equation are given by the hyperbolic and the periodic angles. In the both cases the angles are proportional to the mass. The differential operators with respect to these coord
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abd82cb135932bb16d9bee37c4a913ca
https://doi.org/10.1134/s1063778813090214
https://doi.org/10.1134/s1063778813090214
Autor:
Robert M. Yamaleev
Publikováno v:
Physics of Atomic Nuclei. 74:1775-1782
In this paper we introduce the concept counterpart of rapidity and define energy and momentum of the relativistic particle as functions of the counterpart of rapidity. Formulae of the relativistic mechanics defined in such a way are regular near the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b695faf7875278e60230a615b0283669
https://doi.org/10.1134/s1063778811070180
https://doi.org/10.1134/s1063778811070180