Volume 2, Issue 1, April 2018, pp 17-19
B. Man Tuladhar , H. Torres-Silva and J. López-Bonilla
1 Kathmandu University, Dhulikhel, Kavre, Nepal.
2 Escuela de Ingeniería Eléctrica y Electrónica, Universidad de Tarapacá, Arica, Casilla 6-D, Chile.
3 ESIME-Zacatenco, Instituto Politécnico Nacional, Edif. 5, 1er. Piso, Col. Lindavista CP 07738, CDMX, México
We give an elementary proof of the Spivey’s identity for the Bell numbers B(k), and we show that it implies a recurrence relation for ∑ j=0n Sn[j], thus these quantities involving the Stirling numbers of the second kind are linear combination of the B(k).
Matrix exponential function, Characteristic polynomial, Faddeev’s matrices, Laplace transform.
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