SOME SPECIAL SOLUTIONS OF BICONFLUENT AND TRICONFLUENT HEUN EQUATIONS IN ELEMENTARY FUNCTIONS BY EXTENDED NIKIFOROV-UVAROV METHOD
Küçük Resim Yok
Tarih
2015
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
extended Nikiforov-Uvarov method, biconfluent Heun equation, triconfluent Heun equation, two-electron quantum dot model problem
Kaynak
Reports on Mathematical Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
76
Sayı
3
