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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 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…