Makale detayı · 2010 · article
Physical applications of second order linear differential equations that admit polynomial solutions
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- YÖKSİSYÖKSİS makale kaydı
- YÖKSİS dergi adıJournal of Physics A: Mathematical and Theoretical
- Katalog eşleşmesi (ISSN)Journal of Physics A: Mathematical and Theoretical
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Özet
In this paper conditions for the second-order linear differential equation to have polynomial solutions are given. Several applications of these results to Schrödinger's equation are discussed. Conditions under which the confluent, biconfluent and general Heun equation yields polynomial solutions are explicitly given. Some new classes of exactly solvable differential equations are also discussed. The results of this work are expressed in such a way as to allow direct use, without preliminary analysis.
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