difference equation

English

difference equation (plural difference equations)

Examples (restricted sense)
${\\displaystyle 3\\Delta ^{2}(a_{n})+2\\Delta (a_{n})+7a_{n}=0\\,}$

(mathematics) An equation involving an ordered sequence of real numbers ( ${\\displaystyle \\left\\{a_{n}\\right\\}_{n=1}^{\\infty }}$ ) and some of its differences, where the first difference is defined as ${\\displaystyle \\Delta (a_{n})=a_{n+1}-a_{n}\\,}$ and the k^th difference is defined recursively as ${\\displaystyle \\Delta ^{k}(a_{n})=\\Delta ^{k-1}(a_{n+1})-\\Delta ^{k-1}(a_{n})\\,}$ .
(mathematics) more broadly, any recurrence relation

math: type of equation

recurrence relation — see recurrence relation