SOME SPECIAL SOLUTIONS OF BICONFLUENT AND TRICONFLUENT HEUN EQUATIONS IN ELEMENTARY FUNCTIONS BY EXTENDED NIKIFOROV-UVAROV METHOD

作者：Karayer H^*; Demirhan D; Buyukkilic F

来源：Reports on Mathematical Physics, 2015, 76(3): 271-281.

DOI：10.1016/s0034-4877(15)00039-7

• extended Nikiforov-Uvarov method
• biconfluent Heun equation
• triconfluent Heun equation
• two-electron quantum dot model problem

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.

• 出版日期2015-12