Some Special Solutions of Biconfluent and Triconfluent Heun Equations in Elementary Functions by Extended Nikiforov-Uvarov Method

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• 作者：H. Karayer ^{hale.karayer@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; D. Demirhan ^{dogan.demirhan@ege.edu.tr" class="auth_mail" title="E-mail the corresponding author} ; F. Bü ; yü ; kkiliç ; ^{fevzi.buyukkilic@ege.edu.tr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：extended Nikiforov&ndash ; Uvarov method ; biconfluent Heun equation ; triconfluent Heun equation ; two-electron quantum dot model problem
• 刊名：Reports on Mathematical Physics
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：76
• 期：3
• 页码：271-281
• 全文大小：100 K

文摘

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.