Geodesic
Some properties of weight functions
Teoriâ slučajnyh processov, Tome 13 (2007) no. 2, pp. 194-204 Cet article a éte moissonné depuis la source Math-Net.Ru

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New representations for weight functions in Tauberian theorems are derived. The representations are given by recurrent formulae. Obtained results are used to study properties of the weight functions.
Keywords: Tauberian theorems, random fields, weight functions, asymptotics. 
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Andriy Olenko. Some properties of weight functions. Teoriâ slučajnyh processov, Tome 13 (2007) no. 2, pp. 194-204. http://geodesic.mathdoc.fr/item/THSP_2007_13_2_a3/

[1] A. Olenko, B. Klykavka, “Some properties of weight functions in Tauberian theorems. I”, Theory of Stoch. Proc., 12 (28):3-4 (2006)

[2] A. Olenko, “Tauberian theorems for random fields with OR asymptotics. I”, Theory Probab. and Math. Stat., 73 (2005), 120–133

[3] A. Olenko, “Tauberian theorems for random fields with OR asymptotics. II”, Theory Probab. and Math. Stat., 74 (2006), 81–97

[4] A. Olenko, B. Klykavka, “Tauberian theorem for random fields on plane”, Reports of the National Academy of Sciences of Ukraine, 6 (2006), 19–25 (in Ukrainian)

[5] G. N. Watson, A treatise on the theory of Bessel functions, Cambridge University Press, Cambridge, 1995

[6] H. Bateman, A. Erdelyi, Tables of integral transforms, v. 1, McGrow-Hill, New York, 1954