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- W4308614259 abstract "The main purpose of this paper is to derive the closed form solution the sequence $(g_n)_{nin mathbb{N}}$ of integro-difference equations that is defined recursively as follows: begin{align*} g_1(x) & = chi_{(-1/2, 1/2)} (x), g_{n+1}(x) & = g_n(x + 1/2)- g_n(x- 1/2) + int_{x-frac{1}{2}}^{x + frac{1}{2}} g_n(s)ds, , nin mathbb{N}, end{align*} where $ g_1(x)= chi_{(-1/2, 1/2)} (x) $ is the characteristic function of the unit interval $(-1/2, 1/2) $ has value equal to $ 1 $ on $(-1/2, 1/2) $ and $0$ elsewhere in $ mathbb{R} $." @default.
- W4308614259 created "2022-11-13" @default.
- W4308614259 creator A5052762389 @default.
- W4308614259 date "2022-11-06" @default.
- W4308614259 modified "2023-09-23" @default.
- W4308614259 title "Closed-form formula for some recursively-defined integro-difference sequence of functions" @default.
- W4308614259 doi "https://doi.org/10.48550/arxiv.2211.03239" @default.
- W4308614259 hasPublicationYear "2022" @default.
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