| Authors: | Stević, Stevo Iričanin, Bratislav Kosmala, Witold |
Title: | More on a hyperbolic-cotangent class of difference equations | Journal: | Mathematical Methods in the Applied Sciences | Volume: | 42 | Issue: | 9 | First page: | 2974 | Last page: | 2992 | Issue Date: | 1-Jun-2019 | Rank: | M21 | ISSN: | 0170-4214 | DOI: | 10.1002/mma.5541 | Abstract: | We present a natural method for solving the difference equation. (Formula presented.) where k, l ∈ N, parameter a, and initial values x −j , (Formula presented.), (Formula presented.), are real or complex numbers. As a concrete example, the case k = 1, l = 2 is studied in detail, and several interesting formulas for solutions and objects used in the analysis of the equation are given. A useful remark on solvability of difference equations on complex domains is presented and used here. |
Keywords: | closed-form formula | complex domain | difference equations | solvability | Publisher: | Wiley | Project: | Physical and functional effects of radiation interaction with electrotechnical and biological systems Modulation of intracellular energy balance-controlling signalling pathways in therapy of cancer and neuro-immuno-endocrine disorders Development of new information and communication technologies, based on advanced mathematical methods, with applications in medicine, telecommunications, power systems, protection of national heritage and education |
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