Browsing by Subject "Asymptotic expansion"
Now showing items 1-7 of 7
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Article
Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function
(2011)It is shown that the remainders in asymptotic expansions of the logarithm of Barnes double and triple gamma function and Euler's gamma function are Laplace transformations of positive multiples of absolutely monotonic ...
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Article
Analytic regularity for a singularly perturbed system of reaction-diffusion equations with multiple scales
(2013)We consider a coupled system of two singularly perturbed reaction-diffusion equations, with two small parameters 0 < ε ≤ μ ≤ 1, each multiplying the highest derivative in the equations. The presence of these parameters ...
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Article
Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
(2009)We introduce completely monotonic functions of order r > 0 and show that the remainders in asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function give rise to completely monotonic ...
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Article
On Asymptotic Expansions of Generalized Stieltjes Functions
(2015)We characterize the generalized Stieltjes functions corresponding to measures on the positive real axis having moments of all orders in terms of monotonicity properties of the remainders in asymptotic expansions of these ...
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Article
The singular function boundary integral method for 3-D Laplacian problems with a boundary straight edge singularity
(2012)Three-dimensional Laplace problems with a boundary straight-edge singularity caused by two intersecting flat planes are considered. The solution in the neighbourhood of the straight edge can be expressed as an asymptotic ...
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Conference Object
The singular function boundary integral method for Laplacian problems with boundary singularities in two and three-dimensions
(2010)We present a Singular Function Boundary Integral Method (SFBIM) for solving elliptic problems with a boundary singularity. In this method the solution is approximated by the leading terms of the asymptotic solution expansion, ...
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Article
The Singular Function Boundary Integral Method for singular Laplacian problems over circular sections
(2010)The Singular Function Boundary Integral Method (SFBIM) for solving two-dimensional elliptic problems with boundary singularities is revisited. In this method the solution is approximated by the leading terms of the asymptotic ...