Browsing Artículos de revista DIMI - MIIS Aldizkari artikuluak by UPNA Author "Pagola Martínez, Pedro Jesús"
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Analytic formulas for the evaluation of the Pearcey integral
López García, José Luis
; Pagola Martínez, Pedro Jesús (American Mathematical Society, 2017)
Artículo / Artikulua 
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 ... -
Convergent and asymptotic expansions of the Pearcey integral
López García, José Luis ; Pagola Martínez, Pedro Jesús (Elsevier, 2015)
Artículo / Artikulua
We consider the Pearcey integral P(x; y) for large values of |x|, x, y ∈ C. We can find in the literature several convergent or asymptotic expansions in terms of elementary and special functions, with different levels ... -
Convergent expansions of the Bessel functions in terms of elementary functions
López García, José Luis ; Pagola Martínez, Pedro Jesús (Springer US, 2018)
Artículo / Artikulua
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 expansions of the incomplete gamma functions in terms of elementary functions
Bujanda Cirauqui, Blanca ; López García, José Luis ; Pagola Martínez, Pedro Jesús (World Scientific Publishing, 2017)
Artículo / Artikulua
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 ... -
New asymptotic expansion and error bound for Stirling formula of reciprocal Gamma function
Pagola Martínez, Pedro Jesús (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, ... -
New series expansions of the 3F2 function
López García, José Luis ; Pagola Martínez, Pedro Jesús ; Pérez Sinusía, Ester (2015)
Artículo / Artikulua
We can use the power series definition of 3F2(a1, a2, a3; b1, b2; z) to compute this function for z in the unit disk only. In this paper we obtain new expansions of this function that are convergent in larger domains. ... -
The Pearcey integral in the highly oscillatory region
López García, José Luis ; Pagola Martínez, Pedro Jesús (Elsevier, 2016)
Artículo / Artikulua
We consider the Pearcey integral P(x, y) for large values of |y| and bounded values of |x|. The integrand of the Pearcey integral oscillates wildly in this region and the asymptotic saddle point analysis is complicated. ...
