Geodesic
The function \(_v M_m (s;a,z)\) and some well-known sequences
Journal of integer sequences, Tome 5 (2002) no. 1
In this paper we define the function _$vM_m(s;a,z)$, and we study the special cases _1$M_m(s;a,z)$ and $_nM_{-1}(1;1,n+1)$. We prove some new equivalents of Kurepa's hypothesis for the left factorial. Also, we present a generalization of the alternating factorial numbers.
Classification : 11B83, 33C05, 44A10
Keywords: left factorial, alternating factorial, hypergeometric function, Laplace transform (Concerned with sequences , , , , , , , , , A027660 
@article{JIS_2002__5_1_a0,
     author = {Petojevi\'c,  Aleksandar},
     title = {The function \(_v {M_m} (s;a,z)\) and some well-known sequences},
     journal = {Journal of integer sequences},
     year = {2002},
     volume = {5},
     number = {1},
     zbl = {1020.11014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2002__5_1_a0/}
}
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Petojević,  Aleksandar. The function \(_v M_m (s;a,z)\) and some well-known sequences. Journal of integer sequences, Tome 5 (2002) no. 1. http://geodesic.mathdoc.fr/item/JIS_2002__5_1_a0/