Asymptotic iteration method for solving Hahn difference equations

Hahn’s difference operator [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] is used to unify the recently established difference and q-asymptotic iteration methods (DAIM, qAIM). The technique is applied to solve the second-order linear Hahn difference equations....

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Detalles Bibliográficos
Autores principales: MacQuarrie, Lucas, Saad, Nasser, Islam, Md. Shafiqul
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8570312/
https://www.ncbi.nlm.nih.gov/pubmed/34759965
http://dx.doi.org/10.1186/s13662-021-03511-9
Descripción
Sumario:Hahn’s difference operator [Formula: see text] , [Formula: see text] , [Formula: see text] , [Formula: see text] is used to unify the recently established difference and q-asymptotic iteration methods (DAIM, qAIM). The technique is applied to solve the second-order linear Hahn difference equations. The necessary and sufficient conditions for polynomial solutions are derived and examined for the [Formula: see text] -hypergeometric equation.

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