Difference Equations An Introduction With Applications

By Susanne Ebersbach. 2016

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Convexity for nabla and delta fractional differences (2015, background): “13 in [12]) that Gð1=2Þ 1⁄4 ffiffiffi p p .”
Comparison theorems and asymptotic behavior of solutions of discrete fractional equations (2015, background): “Then we define the rising function (see [10]) by”
Monotonic Chunkwise Attention (2017, background): “…q i,j = α i,j /p i,j produces the ﬁrst-order linear difference equation q i,j = (1 − p i,j − 1 ) q i,j − 1 + α i − 1 ,j which has the following solution (Kelley & Peterson, 2001): where cumprod ( Because the cumulative sum and product can be computed in parallel (Ladner & Fischer, 1980),…”