SOME PROPERTIES OF WEIGHT FUNCTIONS IN TAUBERIAN THEOREMS.
ANDRIY OLENKO AND BORIS KLYKAVKATheory of Stochastic Processes Vol. 12 (28), no. 3–4, 2006, pp. 123–136
The rate of convergence for weight functions series in Tauberian theorems is obtained. Numerical results demonstrate required rate of convergence. Some asymptotic properties of hypergeometric functions are obtained as auxiliary results.
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