Zobrazeno 1 - 10
of 107
pro vyhledávání: '"Dyachenko Alexander"'
Autor:
Dyachenko Alexander, Tyaglov Mikhail
Publikováno v:
Special Matrices, Vol 12, Iss 1, Pp 4017-4031 (2024)
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal. This is expressed in terms of the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero mai
Externí odkaz:
https://doaj.org/article/c6b1fc2b050b4a85acf285f19d157fef
We consider the problem of the reconstruction of a Schwarz matrix from exactly one given eigenvalue. This inverse eigenvalue problem leads to the Jacobi orthogonal polynomials~$\{P_k^{(-n,n)}\}_{k=0}^{n-1}$ that can be treated as a discrete finite an
Externí odkaz:
http://arxiv.org/abs/2406.11032
We introduce a triangular array $\widehat{\sf L}^{(\alpha)}$ of 5-variable homogeneous polynomials that enumerate Laguerre digraphs (digraphs in which each vertex has out-degree 0 or 1 and in-degree 0 or 1) with separate weights for peaks, valleys, d
Externí odkaz:
http://arxiv.org/abs/2312.11081
Autor:
Dyachenko, Alexander, Karp, Dmitrii
Known already to the ancient Greeks, today trigonometric identities come in a large variety of tastes and flavours. In this large family there is a subfamily of interpolation-like identities discovered by Hermite and revived rather recently in two in
Externí odkaz:
http://arxiv.org/abs/2302.10333
Publikováno v:
MATEC Web of Conferences, Vol 85, p 01009 (2016)
The ammonium-fluoride method of beryllium materials processing is examined. An analysis of the existing sulfuric-acid and fluoride processing scheme of beryllium-containing concentrates processing is described; advantages of the proposed ammonium-flu
Externí odkaz:
https://doaj.org/article/ac214b3f2874494f9fe9259ea310b621
Publikováno v:
MATEC Web of Conferences, Vol 85, p 01021 (2016)
The technological flowchart of purification of medium- and low-activity waste from Co-60 and Cs-137 is developed and introduced. The developed purification scheme has been successfully tested using genuine medium- and low-level liquid radioactive was
Externí odkaz:
https://doaj.org/article/13206aac249e436b800efe28c45dea30
Autor:
Dyachenko, Alexander, Tyaglov, Mikhail
We find the spectrum and eigenvectors of an arbitrary irreducible complex tridiagonal matrix with two-periodic main diagonal provided that the spectrum and eigenvectors of the matrix with the same sub- and superdiagonals and zero main diagonal is kno
Externí odkaz:
http://arxiv.org/abs/2109.10771
Autor:
Dyachenko, Alexander, Karp, Dmitrii
Publikováno v:
Lobachevskii J. Math. 42 (2021), No. 12, pp. 2764 - 2776
We consider the ratio of two Gauss hypergeometric functions, in which the parameters of the numerator function differ from the respective parameters of the denominator function by integers. We derive explicit integral representations for this ratio b
Externí odkaz:
http://arxiv.org/abs/2108.03595
Autor:
Dyachenko, Alexander, Tyaglov, Mikhail
A method of generating differential operators is used to solve the spectral problem for a generalisation of the Sylvester-Kac matrix. As a by-product, we find a linear differential operator with polynomial coefficients of the first order that has a f
Externí odkaz:
http://arxiv.org/abs/2104.01216
Autor:
Dyachenko, Alexander, Karp, Dmitrii
We consider the ratio of two Gauss hypergeometric functions with real parameters shifted by arbitrary integers. We find a formula for the jump of this ratio over the branch cut in terms of a real hypergeometric polynomial, the beta density and the ab
Externí odkaz:
http://arxiv.org/abs/2103.13312