The point is a relatively simple presentation of what turns out to be a sharp estimate for the region of convergence of the relatively simple Siegel-type Eisenstein series [1] on classical groups. The argument is essentially due to Godement, reproduced for real Lie groups by Borel in AMS Proc. Symp. Pure Math. IX (The Boulder Conference 1966). The necessary small excursion into reduction theory...

in this paper, we apply the  homotopy analysis method (ham) for solving fuzzy  linear systems and present  the necessary and sufficient conditions for the convergence of series solution obtained via the ham. also, we present a new criterion for choosing a proper value of convergence-control parameter $hbar$ when the ham is applied to linear system of equations. comparisons are made between the ...

A criterion is established for the convergence of sequences of a general type of Runge-Kutta method. The criterion is expressed in terms of "weak convergence", a property defined in the paper.