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Singular reduction of resonant Hamiltonians
(IOP PublishingLondon Mathematical Society, 2018)
Artículo / Artikulua,
We investigate the dynamics of resonant Hamiltonians with n degrees of freedom to which we attach a small perturbation. Our study is based on the geometric interpretation of singular reduction theory. The flow of the ...
Implementation and operational analysis of an interactive intensive care unit within a smart health context
(MDPI, 2018)
info:eu-repo/semantics/article,
In the context of hospital management and operation, Intensive Care Units (ICU) are
one of the most challenging in terms of time responsiveness and criticality, in which adequate
resource management and signal processing ...
The use of two-point Taylor expansions in singular one-dimensional boundary value problems I
(Elsevier, 2018)
info:eu-repo/semantics/article,
We consider the second-order linear differential equation (x + 1)y′′ + f(x)y′ + g(x)y = h(x) in
the interval (−1, 1) with initial conditions or boundary conditions (Dirichlet, Neumann or mixed
Dirichlet-Neumann). The ...
Asymptotic and convergent expansions for solutions of third-order linear differential equations with a large parameter
(Shanghai Normal UniversityWilmington Scientific Publisher, 2018)
info:eu-repo/semantics/article,
In previous papers [6–8,10], we derived convergent and asymptotic
expansions of solutions of second order linear differential equations with a
large parameter. In those papers we generalized and developed special cases
not ...
Convergent expansions of the Bessel functions in terms of elementary functions
(Springer US, 2018)
info:eu-repo/semantics/article,
We consider the Bessel functions Jν (z) and Yν (z) for ν > −1/2 and
z ≥ 0. We derive a convergent expansion of Jν (z) in terms of the derivatives of
(sin z)/z, and a convergent expansion of Yν (z) in terms of derivatives ...
Convergent and asymptotic methods for second-order difference equations with a large parameter
(Springer, 2018)
info:eu-repo/semantics/article,
We consider the second-order linear difference equation y(n+2)−2ay(n+1)−Λ2y(n)=g(n)y(n)+f(n)y(n+1) , where Λ is a large complex parameter, a≥0 and g and f are sequences of complex numbers. Two methods are proposed to find ...
The asymptotic expansion of the swallowtail integral in the highly oscillatory region
(Elsevier, 2018)
info:eu-repo/semantics/article,
The mathematical models of many short wavelength phenomena, specially wave propagation and optical diffraction,
contain, as a basic ingredient, oscillatory integrals with several nearly coincident stationary phase or ...
Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions
(Taylor & Francis, 2018)
info:eu-repo/semantics/article,
We consider the hypergeometric function 2F1(a, b; c; z) for z ∈ C \ [1,∞). For Ra ≥ 0, we derive a convergent expansion of 2F1(a, b; c; z) in terms of the function (1 − z)−a and of rational functions of z that is uniformly ...
Uniform representation of the incomplete beta function in terms of elementary functions
(Kent State UniversityJohann Radon Institute (RICAM), 2018)
info:eu-repo/semantics/article,
We consider the incomplete beta function Bz(a, b) in the maximum domain of analyticity of its three variables: a, b, z ∈ C, −a /∈ N, z /∈ [1, ∞). For <b ≤ 1 we derive a convergent expansion of z−aBz(a, b) in terms of the ...
New asymptotic expansion and error bound for Stirling formula of reciprocal Gamma function
(Ele-Math, 2018)
Artículo / Artikulua,
Studying the problem about if certain probability measures are determinate by its moments
[4, 8, 10] is useful to know the asymptotic behavior of the probability densities for large
values of argument. This requires, ...