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Convergent and asymptotical expansions of probability distributions
Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 1, pp. 24-38 Cet article a éte moissonné depuis la source Math-Net.Ru

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On the basis of a sum theorem similar to the Euler–MacLaurent sum formula the author derives convergent and asymptotic expansions for the well known probability distributions (multinomial, Poisson, Student ones). The general expressions for the coefficients are given. 
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     author = {V. M. Kalinin},
     title = {Convergent and asymptotical expansions of probability distributions},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {24--38},
     year = {1967},
     volume = {12},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1967_12_1_a2/}
}
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V. M. Kalinin. Convergent and asymptotical expansions of probability distributions. Teoriâ veroâtnostej i ee primeneniâ, Tome 12 (1967) no. 1, pp. 24-38. http://geodesic.mathdoc.fr/item/TVP_1967_12_1_a2/