A discrete and $q$ Asymptotic Iteration Method

Autor:	Ismail, Mourad E. H., Saad, Nasser
Rok vydání:	2020
Předmět:	Mathematics - Classical Analysis and ODEs Primary 39A10 29A13 Secondary 33D99
Zdroj:	Journal of Difference Equations and Applications, 2020
Druh dokumentu:	Working Paper
Popis:	We introduce a finite difference and $q$-difference analogues of the Asymptotic Iteration Method of Ciftci, Hall, and Saad. We give necessary, and sufficient condition for the existence of a polynomial solution to a general linear second-order difference or $q$-difference equation subject to a "terminating condition", which is precisely defined. When a difference or $q$-difference equation has a polynomial solution, we show how to find the second solution. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.06726 Zobrazit plný text záznamu View this record from Arxiv