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A simplification of the stationary phase method: application to the Anger and Weber functions
(Kent State UniversityJohann Radon Institute (RICAM), 2017)
info:eu-repo/semantics/article,
The main difficulty in the practical use of the stationary phase method in asymptotic expansions of
integrals is originated by a change of variables. The coefficients of the asymptotic expansion are the coefficients of
the ...
Convergent expansions of the incomplete gamma functions in terms of elementary functions
(World Scientific Publishing, 2017)
info:eu-repo/semantics/article,
We consider the incomplete gamma function γ(a,z) for Ra>0 and z∈C. We derive several convergent expansions of z−aγ(a,z) in terms of exponentials and rational functions of z that hold uniformly in z with Rz bounded from ...
Analytic formulas for the evaluation of the Pearcey integral
(American Mathematical Society, 2017)
info:eu-repo/semantics/article,
We can find in the literature several convergent and/or asymptotic
expansions of the Pearcey integral P(x, y) in different regions of the complex
variables x and y, but they do not cover the whole complex x and y ...
Representations of hypergeometric functions for arbitrary parameter values and their use
(2017)
Artículo / Artikulua,
Integral representations of hypergeometric functions proved to be
a very useful tool for studying their properties. The purpose of this paper is
twofold. First, we extend the known representations to arbitrary values of ...