Geodesic
On distribution’s constant slowly varying component
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2009), pp. 20-23

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In the present report it is proved that for a priori given numbers $\rho\in(1,+\infty)$ and $L\in R^+=(0, +\infty)$ there is a distribution $\big\{p_n\big\}_1^{\infty}$ with the following properties: $\big\{p_n\big\}_1^{\infty}$ varies regularly as $n\to +\infty$ with exponent $(-\rho)$, exhibits the constant slowly varying component $L$, and $\big\{\lg p_n\big\}_1^{\infty}$ is downward convex.
Keywords: regular variation, constant slowly varying component.
Mots-clés : distribution 
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G. P. Avagyan. On distribution’s constant slowly varying component. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2009), pp. 20-23. http://geodesic.mathdoc.fr/item/UZERU_2009_1_a3/