absolutely convergent


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Related to absolutely convergent: Conditionally convergent

absolutely convergent

adj.
Of, relating to, or characterized by absolute convergence.
References in periodicals archive ?
s][infinity] is absolutely convergent for Rs = [sigma] > 1/6.
is assumed to be absolutely convergent, there is [beta] > 0 such that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
the integral being absolutely convergent for 1 < [sigma] < 2.
0] < 1/2, the series is not absolutely convergent.
n=1] which is absolutely convergent for [Real part]s > 1/6.
s] and by the properties of Dirichlet series, it is absolutely convergent for Rs > 1/3.
where G(s) can be written as a Dirichlet series [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], which is absolutely convergent for Rs [greater than or equal to] 1/5.
n=1] is absolutely convergent for Res [greater than or equal to] - 2/5, so we have
where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] > 0 and the Dirichlet series M(s) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is absolutely convergent for Rs > 1/5.
where the Dirichlet series [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is absolutely convergent for Res > 1/5.
It is easy to see that this Dirichlet series is absolutely convergent for Res > 1/6.
s] is absolutely convergent on some half plane Rs > [[sigma].