Sixteen practically solvable systems of difference equations

Author:

Stević Stevo

Abstract

AbstractClosed-form formulas for general solutions to sixteen hyperbolic-cotangent-type systems of difference equations of interest are obtained, showing their practical solvability and completely solving a solvability problem for some concrete values of delays.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference59 articles.

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2. de Moivre, A.: Miscellanea analytica de seriebus et quadraturis. J. Tonson & J. Watts, Londini (1730) (in Latin)

3. de Moivre, A.: The Doctrine of Chances, 3rd edn., London (1756)

4. Laplace, P.S.: Recherches sur l’intégration des équations différentielles aux différences finies et sur leur usage dans la théorie des hasards, Mémoires de l’ Académie Royale des Sciences de Paris 1773, t. VII (1776) (Laplace OEuvres, VIII, 69-197, 1891) (in French)

5. Euler, L.: Introductio in Analysin Infinitorum, Tomus Primus, Lausannae (1748)

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