SOME PROPERTIES OF WEIGHT FUNCTIONS IN TAUBERIAN THEOREMS.

ANDRIY OLENKO AND BORIS KLYKAVKA

Theory 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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