Zobrazeno 1 - 3
of 3
pro vyhledávání: '"Ya. D. P'yanilo"'
Autor:
S. M. Khai, Ya. D. P'yanilo
Publikováno v:
Journal of Mathematical Sciences. 96:2851-2856
We construct a generalized Laguerre transform and establish some of its properties. We illustrate the application of this transform with use of exponential Fourier series to solve a heterodiffusion problem.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef81adf6ad454c90d4baa72adb626c37
https://doi.org/10.1007/bf02168994
https://doi.org/10.1007/bf02168994
Autor:
G. S. Kit, Ya. D. P'yanilo
Publikováno v:
Journal of Mathematical Sciences. 81:3039-3043
We propose a spectral method of inverting one- and two-dimensional semi-infinite convolutions using the Laguerre polynomials. We construct systems of linear algebraic equations to determine the coefficients of the corresponding Fourier-Laguerre serie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::150dd6e1b7731c5b49045b9826e9ebc0
https://doi.org/10.1007/bf02362590
https://doi.org/10.1007/bf02362590
Autor:
Ya. D. P'yanilo
Publikováno v:
Ukrainian Mathematical Journal. 46:1914-1917
The spectral method for solution of convolution-type integral equations in the basis of Chebyshev-Laguerre polynomials is reduced to the representation in matrix form. This enables one to construct algorithms of reconstruction of input signals direct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::960add34c044664b3bf2d2a40795eecf
https://doi.org/10.1007/bf01063176
https://doi.org/10.1007/bf01063176