Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Léa Jaccoud El-Jaick"'
Publikováno v:
Applied Mathematics and Computation. 284:234-259
We study the convergence of a group of solutions in series of confluent hypergeometric functions for the confluent Heun equation. These solutions are expansions in two-sided infinite series (summation from minus to plus infinity) which are interprete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf7f13095b4b14e0f624eeb91ac0bd25
https://doi.org/10.1016/j.amc.2016.03.003
https://doi.org/10.1016/j.amc.2016.03.003
Firstly, we construct kernels of integral relations among solutions of the confluent Heun equation (CHE) and its limit, the reduced CHE (RCHE). In both cases we generate additional kernels by systematically applying substitutions of variables. Second
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0edb22765945e97ff22c1ae7f0460485
We find transformations of variables which preserve the form of the equation for the kernels of integral relations among solutions of the Heun equation. These transformations lead to new kernels for the Heun equation, given by single hypergeometric f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::39fd0f5d6531c413268aeb82ffcd4340
http://arxiv.org/abs/1002.4559
http://arxiv.org/abs/1002.4559
Publikováno v:
Journal of Physics A: Mathematical and Theoretical. 46:085203
The Leaver solutions in series of Coulomb wavefunctions for the confluent Heun equation are given by two-sided infinite series, that is, by series where the summation index n runs from minus to plus infinity (Leaver 1986 J. Math. Phys.27 1238). First
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8b6eeb6b5021078522ebf73bfb0612e8
https://doi.org/10.1088/1751-8113/46/8/085203
https://doi.org/10.1088/1751-8113/46/8/085203
Publikováno v:
Journal of Mathematical Physics. 52:049901
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3709a76d2b6096d2d74da886660f18f5
https://doi.org/10.1063/1.3571968
https://doi.org/10.1063/1.3571968
Publikováno v:
Journal of Mathematical Physics. 50:123511
We reexamine and extend a group of solutions in series of Bessel functions for a limiting case of the confluent Heun equation and, then, apply such solutions to the one-dimensional Schr\"odinger equation with an inverted quasi-exactly solvable potent
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e730ffcd664cc5bed0186b0a9711afc9
https://doi.org/10.1063/1.3268591
https://doi.org/10.1063/1.3268591
Publikováno v:
Journal of Mathematical Physics. 49:083508
This paper examines some solutions for confluent and double-confluent Heun equations. In the first place, we review two Leaver’s solutions in series of regular and irregular confluent hypergeometric functions for the confluent equation [Leaver, E.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e4d06c0618f0da3366ff523e78795109
https://doi.org/10.1063/1.2970150
https://doi.org/10.1063/1.2970150