Karayer, H.Demirhan, D.Buyukkilic, F.2019-10-272019-10-2720150034-48770034-4877https://doi.org/10.1016/S0034-4877(15)00039-7https://hdl.handle.net/11454/51700We 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.en10.1016/S0034-4877(15)00039-7info:eu-repo/semantics/closedAccessextended Nikiforov-Uvarov methodbiconfluent Heun equationtriconfluent Heun equationtwo-electron quantum dot model problemArticle763271281WOS:000367407500001Q3