V. Kravchenko

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20012025

most citedRepresentation of solutions to the one-dimensional Schrödinger equation in terms of Neumann series of Bessel functions

52 citations · 786 across the 59 of their papers we have counts for

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Showing 2016 · math.CAShow all

3 papers · 2 filters

math.CA2016

A Neumann series of Bessel functions representation for solutions of Sturm-Liouville equations

Vladislav V. Kravchenko, Sergii M. Torba

A Neumann series of Bessel functions (NSBF) representation for solutions of Sturm-Liouville equations and for their derivatives is obtained. The representation possesses an attract…

math.CA2016★ 24 cited

A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations

Vladislav V. Kravchenko, Sergii M. Torba, Raúl Castillo-Pérez

A new representation for a regular solution of the perturbed Bessel equation of the form $Lu = - u " + (\frac{l ( l + 1 )}{x ^{2}} + q (x)) u = ω^{2} u$ is obtained. The solution is represent…

math.CA2016

Generalized wave polynomials and transmutations related to perturbed Bessel equations

Vladislav V. Kravchenko, Sergii M. Torba, Jessica Yu. Santana-Bejarano

The transmutation (transformation) operator associated with the perturbed Bessel equation is considered. It is shown that its integral kernel can be uniformly approximated by linea…