Abstract: In the problem of complex networks, it is often necessary to calculate matrix exponential function which is a special case of $\varphi$ functions arising from exponential integrators.
A sequence defined by a series of exponential terms was discussed by Spivey [Math.Mag. 79 (2006) 61–65] and Holland [Math. Mag. 83 (2010) 51–54]. In this paper, a simple variation of this sequence is ...
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