Finally, the

absolute convergence hypothesis is based on the fact that [H.sub.t] tends to zero.

Without additional control variables, the test considered

absolute convergence, whereas with additional control variables, the test examined conditional convergence.

It must be appreciated that while Islamabad also has obvious interest in a stable Afghanistan, it does not have an

absolute convergence of strategic interests with the US anymore and no amount of diplomatic small talk can change the facts on ground.

Moreover, it follows from the above the uniform convergence of series (3.9) in every ring [[bar.[DELTA]].sub.[delta]] and uniform and

absolute convergence in every [[bar.[DELTA]].sub.[delta]] \ [[DELTA].sub.[rho]-[delta]] conditions (i), (ii), and the uniform and

absolute convergence in whole disk [bar.[DELTA]] under conditions (i)-(iv).

The results suggest

absolute convergence for countries having similar characteristics and conditional convergence for countries having heterogeneous structures.

For the estimation of

absolute convergence, [beta] convergence, for the Western Balkans countries (Albania, Bosnia & Herzegovina, Macedonia, Montenegro, Serbia) is used the regression equation (4), where the dependent variable is the average annual growth of GDP per capita per each country for the period 1995-2015 and the independent variable is natural logarithm of 1995 GDP per capita per each country.

where the left-hand side sum is the Riesz sum of order [rho], [phi](s) = [[SIGMA].sup.[infinity].sub.k=1] [[alpha].sub.k]/[k.sup.s] and c is bigger than the abscissa of

absolute convergence of [phi](s).

Therefore, in the above formula, the regression results can be approximately estimated [beta], if the estimated [beta] results are greater than 0, which indicates that the test area in the time period T with

absolute convergence. Establish regression model:

This friendship is deep historical roots and is built on

absolute convergence of interests that findexpression in our united and principled stance on a whole range of international and regional issues etched in their collective memory.

Sartaj said the friendship had deep historical roots and built on

absolute convergence of interests that find expression in their united and principled stance on a whole range of international and regional issues etched in their collective memory.

Then the smoothed components are used to estimate the relative transition coefficients and to test the null hypothesis of no

absolute convergence using the log t test suggested by Phillips and Sul (2007).