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Difference equation

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Noun

Definition: An equation involving an ordered sequence of real numbers (a_nₙ₌₁ ᪲) and some of its differences, where the first difference is defined as 𝛥(a_n)=a_n+1-a_n, and the kᵗʰ difference is defined recursively as 𝛥ᵏ(a_n)=𝛥ᵏ⁻¹(a_n+1)-𝛥ᵏ⁻¹(a_n),.

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