Islam, Md. Shafiqul, et al. “Asymptotic Iteration Method for Solving Hahn Difference Equations”. Advances in Difference Equations, vol. 2021, no. 354, 2021, https://doi.org/10.1186/s13662-021-03511-9.

Genre

  • Journal Article
Contributors
Author: Islam, Md. Shafiqul
Author: Saad, Nasser
Author: MacQuarrie, Lucas
Date Issued
2021
Date Published Online
2021-12-30
Abstract

Hahn's difference operator Dq;wf(x)=(f(qx + w) – f(x))/((q – 1)x + w), q ∈ (0, 1), w > 0, x = w/(1 – q) 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 (q;w)-hypergeometric equation.

Language

  • English
Rights
CC-BY
Funding Note
Natural Sciences and Engineering Research Council of Canada
Canadian Network for Research and Innovation in Machining Technology
Host Title
Advances in Difference Equations
Host Abbreviated Title
Adv Differ Equ
Volume
2021
Issue
354
ISSN
1687-1847
DOI
https://doi.org/10.1186/s13662-021-03511-9

Department

Rights

  • CC BY