Some Special Solutions of Biconfluent and Triconfluent Heun Equations in Elementary Functions by Extended Nikiforov–Uvarov Method
| Autor: | Fevzi Büyükkiliç, H. Karayer, Doğan Demirhan |
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| Rok vydání: | 2015 |
| Předmět: |
Heun's method
Special solution Heun function Mathematical analysis Mathematics::Classical Analysis and ODEs Mathematics::Mathematical Physics Elementary function Statistical and Nonlinear Physics Boundary value problem Mathematical Physics Eigenvalues and eigenvectors Mathematics Mathematical physics |
| Zdroj: | Reports on Mathematical Physics. 76:271-281 |
| ISSN: | 0034-4877 |
| DOI: | 10.1016/s0034-4877(15)00039-7 |
| Popis: | We report some special solutions of biconfluent Heun equation and triconfluent Heun equation via extended Nikiforov–Uvarov (NU) method which is developed by changing the boundary conditions of NU method [ 8 ]. We demonstrate that eigenvalue solutions of these confluent forms of Heun equation can be achieved exactly. Furthermore we give eigenvalue solution of a two-electron quantum dot model problem as a physical application of extended NU method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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